Question
Find the value of angle ABC if AB = BC.
![](data:image/png;base64,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)
- 80°
- 100°
- 120°
- 20°
Hint:
From Figure, ∠BAC + ∠CAD = 180°
The correct answer is: 20°
From Figure, ∠BAC + ∠CAD = 180° (Linear Pair)
⇒ ∠BAC + 100° = 180°
⇒ ∠BAC = 80°
In Δ ABC, ∠BAC = 80° (from above equation)
And AB = BC (Given)
⇒ ∠A = ∠C (Angles opposite to two equal sides of triangle are equal)
∠BAC + ∠ABC + ∠ACB = 180° (Angle Sum property of triangle)
⇒ 80° + ∠B + 80° = 180°
⇒ ∠B = 180° – 160°
⇒ ∠B = 20°.
⇒ ∠BAC + 100° = 180°
⇒ ∠BAC = 80°
In Δ ABC, ∠BAC = 80° (from above equation)
And AB = BC (Given)
⇒ ∠A = ∠C (Angles opposite to two equal sides of triangle are equal)
∠BAC + ∠ABC + ∠ACB = 180° (Angle Sum property of triangle)
⇒ 80° + ∠B + 80° = 180°
⇒ ∠B = 180° – 160°
⇒ ∠B = 20°.
Related Questions to study
From the diagram given below, which is true for two triangles?
![](data:image/png;base64,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)
From the diagram given below, which is true for two triangles?
![](data:image/png;base64,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)
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,
and ![angle T](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABwAAAAOCAYAAAA8E3wEAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAANvpXuIwAAAKlJREFUeNpjYCAfuDHQEUwD4uVIfCYg/gXE//HgX1B1JIOZQPwOiM3xqFED4gvU8NlCIiwDgSAgXkqpZYuJtAwEGoG4hBLL1pBgGUy9HzkWgSJ5HYmWgcBdIJYk1TIWMi0D6ftCjmVbyLAMBCyBeD8pGtiAeBuZloFAJBDPJ1YxBxDvoMAyEJgExMnEKOQC4r0UWsYAjXcvYhTuJ1A0oePlOMx5Bw2pwQEAWkYzxcgAecIAAABadEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1vPiYjeDIyMjA7PC9tbz48bWk+VDwvbWk+PC9tYXRoPmR8cmsAAAAASUVORK5CYII=)
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)
The third side opposite to legs of an isosceles triangle is known as
The third side opposite to legs of an isosceles triangle is known as
If triangles ABC and DEF are similar and AB = 4 cm, DE = 6 cm, EF = 9 cm and FD = 12 cm, the perimeter of triangle is,
We know that , perimeter of a triangle is the sum of all sides of a triangle.
If triangles ABC and DEF are similar and AB = 4 cm, DE = 6 cm, EF = 9 cm and FD = 12 cm, the perimeter of triangle is,
We know that , perimeter of a triangle is the sum of all sides of a triangle.
Given that ∠A = ∠P and AC = PR. Then, which of the following conditions are true for Δ PQR and Δ ABC to be congruent.
![](data:image/png;base64,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)
Given that ∠A = ∠P and AC = PR. Then, which of the following conditions are true for Δ PQR and Δ ABC to be congruent.
![](data:image/png;base64,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)
What is the relation between ∠1 and ∠2 if AD = CD?
![](data:image/png;base64,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)
What is the relation between ∠1 and ∠2 if AD = CD?
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAVgAAADsCAYAAAAxQL6XAAAgAElEQVR4nO3dd1zVdf//8cdhC8RUloKCCrhwj9RoOJBKvRT3TM0MK0eWVpdXVtd12dAy9x64FRUp0dyKZpjiXgzFxVCWgsiBs35/9JVfXprJPHDO6367dbslfM7n8zyFTz7n83m/3x+FTqfTIYQQosyZ6DuAEEIYKilYIYQoJ1KwQghRTqRghRCinEjBCiFEOZGCFUKIciIFK4QQ5UQKVgghyokUrBBClBMpWCGEKCdSsEKUkk6nQ6vVIrPOxf8y03cAIaq65ORksrKycHZ2pmbNmvqOIyoRKVghikmtVhMbG8vp06c5ceIEx48f57XXXuOdd96RghWPkYIV4jmkpKSQkJDAmTNnuHz5Mg8fPsTBwYE9e/Zw+/ZtGjZsiEKh0HdMUclIwQrxFEqlkuTkZC5fvkxcXBx5eXnk5uaSmZmJpaUlXl5eZGZm4u3tTUZGBl5eXjg5Oek7tqhkpGCFeIp79+4RHR3Npk2buHbtGi1atKBZs2b06dOHVq1akZiYyJQpU3jjjTe4e/cuXl5euLu76zu2qGSkYIX4CzVq1KBfv34EBgZSr169oq+fO3eOJUuWkJmZSXBwMGvWrMHCwkKPSUVlJQUrxFO4uLgQFBSETqfDzOz//zU5efIk8+bNIzMzky1btnDv3j2cnZ2xtbXVY1pRWck4WCGewsTEBHNzcywsLDAx+eOvSVZWFkuWLCEjI4MpU6bg6upKfHw8NWvWpHr16npOLCojKVghnkNeXh7Tp0/n7t279O3bl44dO6JWq8nIyMDGxgZra2t9RxSVkBSsEH9DrVYTFhbG6dOn6dKlCyEhIQBoNBpu3LhB9erVsbe313NKURlJwQrxDIWFhZw4cYJly5bRu3dvBg0aVHS9VaPREBMTg4+Pj0wwEE8lBSvEX9DpdJw6dYqvvvqKl19+mZCQEBwdHYu+r9VquXr1Km5ubjIGVjyVjCIQ4i/8/vvvzJkzBzc3Nz7//PPHyhX+uBHm4uKCqakpGo2m6GaYEI9IwQrxFFevXmXt2rWkpqaycOHCJ8oVwMrKimXLluHu7v7YUC4hHlHoZI01IR5z9epVvv/+e+7evcuoUaMIDg7WdyRRRclnGiH+RKPRsHTpUuLj4+nWrZuUqygVKVgh/k9+fj5RUVEcPXqU3r17M2LECH1HElWcFKwQ/LF61m+//cbEiRMJCQmhX79+mJqa6juWqOKkYIUALl++zCeffEL//v3p27evTH0VZUJucgmjFxMTw6JFi1CpVEyfPp3atWvrO5IwEHIGK4zamTNn2LhxI0qlktDQUClXUaakYIXRys7OZs2aNVy/fp1BgwbRsWNHfUcSBkYKVhil/Px8Vq5cycWLF3n55Zfp0aOHviMJAyQFK4xOYWEh4eHhrFixguDgYMaPH6/vSMJAyU0uYVS0Wi3nzp2jf//+TJw4kX79+slCLaLcyBmsMCqnT5/mgw8+oH///rzxxhtSrqJcScEKoxEbG8u8efNwc3Nj+PDheHp66juSMHBSsMIoJCYmsmnTJlJSUvjoo4+oW7euviMJIyAFKwxeZmYmK1asICEhgZEjR9K2bVt9RxJGQgpWGLzly5dz9epV3nzzTfr376/vOMKISMEKg7Z+/XrCw8N56aWXGD58uL7jCCMjy7ALg1RQUMCBAwdYsGABQ4YMISQkRJ46ICqcnMEKg3T+/Hl++OEHWrduTa9evXB3d9d3JGGEpGCFwblw4QKbN2/G0tKSMWPGyHAsoTfymUkYlOTkZDZv3szZs2f55ptv8Pf313ckYcSkYIXBUKvVLFy4kPPnzzN27FiaN2+u70jCyEnBCoOg0WiYNm0aly5dolevXvTs2VPfkYSQa7DCMDxaerBLly5SrqLSkIIVVZpWq+XgwYOEhYXxyiuv0KtXLxwdHfUdSwhALhGIKkyj0RATE8OCBQuoX78+vXv3luFYolKRghVV1rlz51i1ahW3b99m27ZtUq6i0pGCFVVSeno6W7du5ezZsyxatAhXV1d9RxLiCfJEA1HlqNVqJkyYQHx8PB9//DGdO3dGoVDoO5YQT5CbXKLK+frrr0lLS6N///506tRJylVUWlKwokoJCwvj999/57XXXqNPnz6YmMiPsKi85KdTVAlarZaYmBiWLl1Ky5Yt6dmzJ/b29sgVLlGZScGKKuHcuXN8//33eHh4MGjQIGrWrAkglwdEpSajCMRf0mq1qNXqx76mUCgwNzev0BwXL15k+fLlJCcnExERISMGRJUhZ7DiMY8+cms0GrZt24aHhwe2trY4ODhgaWlJYGAgDx48qLA88fHxzJs3j99//51Zs2ZRvXr1Cju2EKUlZ7DiMQqFgosXLzJ9+nSio6P58ssv8fb2xsLCAqVSye+//06bNm2IiIjA19e3XD+iFxYWsnTpUq5cuUJoaCitWrXC1NS03I4nRFmTghWPefjwIdu2bSMqKoqBAwfy1ltvYWNjU/T9xo0bY2pqir29fblnmTVrFleuXOHNN9+kT58+Uq6iypGJBuIxO3bsYPr06ajVavbs2YODg0OFZ9Bqtezbt4/PP/+coKAgxo0bh7Ozc4XnEKK05BqseMzevXuJj4+nc+fOeilXjUbD6dOnmT59Ou3atWPIkCFSrqLKkksE4jHZ2dloNBq93alPTExk6tSpNGnShClTpsgCLqJKk4IVRfLz87l37x729va4ublV+PEvXbrEjBkzSElJYfbs2VKuosqTSwSiiEqlQqVSYWpqipWVVYUe+9q1a6xYsYKbN2+yYMEC6tatW6HHF6I8SMGKInZ2dri5uVFQUEBSUlKFHbegoICwsDAuXbrE0KFD6dChg4wYEAZBClY8xt/fH41Gw9GjR5/4XnkMOFGpVKxZs4aTJ08W3dQSwlBIwYrHtG3blvr16/Prr78SHR2NSqUq+p5CoaCwsJBLly6hVCpLfSyNRsPhw4dZtmwZzZs3Z8yYMZiZyW0BYTikYMVjXnnlFSZMmEBubi5BQUGcO3eOgoICNBoNAMePHycgIIC4uDi0Wm2pjpWcnMynn35KcHAw77zzjqwxIAyOnC6IJ/Tu3Zs6derwxRdfEBgYiFarxdTUlIcPHxIQEMCJEydo0KBBqdZijYuLY9q0afj7+zNgwAC8vLzK8B0IUTnITC7xl+Li4khKSkKtVqNQKFCr1Tg7O9OxY8cS7U+n06FQKIiLi2Pp0qWkp6czefJkGjZsKMsOCoMkBSsqVFZWFgsWLGDfvn1MmzaNV199Vd+RhCg3cg1WVJh79+6xcuVKYmNjeeONN6RchcGTghUVZv369WzZsoWAgAA+/vhjfccRotzJTS5R7jQaDVeuXCEsLIzXX3+diRMn6juSEBVCzmBFudJqtVy8eJFBgwbRuXNnhgwZgp2dnb5jCVEh5CaXKFeJiYl89NFH1KxZk7Fjx9KoUSN9RxKiwsgZrCg3iYmJrFq1iry8PN555x0pV2F0pGBFuUhJSSE8PJyzZ88yZswYmjZtqu9IQlQ4KVhRLtatW8fRo0d5/fXX6dOnj77jCKEXUrCizIWHh/PLL7/QuHFjQkND9R1HCL2RghVlRqvVsnnzZr788ku6du3KF198oe9IQuiVjCIQZeb69esMGjSI4OBgRo0ahYeHh74jCaFXcgYrysS1a9eYPn069vb2ODg4kJmZSX5+vr5jCaFXUrCi1G7dusX69es5fPgw5ubmREZGMmPGDPbs2aPvaELolUyVFaWSl5fH1q1bWbNmDf7+/ly6dAmA/fv3k5SUhLu7O23atNFzSiH0Q67BihLTaDTMnj2bXbt28fDhQ5KSktiyZQsPHjxg5syZ7N27l3bt2rFmzRp8fHxKtUC3EFWRnMGKElu7di1nzpwhISEBjUbD4sWLadmyJZaWljg4OFCtWjV++uknhg8fTnh4uNz0EkbH9AsZSyNK4NChQ6xZs4Y9e/bg6urKpEmTCAkJwdLSEgAPDw98fHxQKpVERUURFxfHSy+9hL29vZ6TC1FxpGBFsWi1Wk6fPs0PP/xAdHQ0Li4ujBgxgpEjR1KtWrWi7RQKBbVq1cLHx4f8/HwiIiLIysqiadOmODo6Fj0+RghDJpcIRLFcv36dhQsXcuDAAZycnHjnnXcYNmwYNjY2T92+WbNmfPnll6hUKsLDw3nhhRf45JNP5HKBMApSsOK53blzh8jISLZs2YKLiwujR49m4MCBODk5PfN1derUYf78+Zibm7NmzRoKCgqYPXs2VlZWFZRcCP2QghXPpaCggPXr1/Pll19Su3ZtQkJCGD58ODVq1Hiu1zs6OrJ48WJcXV0JCwvj/v37bNy4sZxTC6FfMkxLPJfvv/+exYsXY2VlRdeuXfn0009xdnYu9n7y8vJYuXIlc+bMoWnTpmzevFmuxQqDJQMTxd9atWoVP//8M6amprz22mtMmDChROUKYGNjQ3BwMO3btycqKoq5c+cWTamV3/XC0EjBimfau3cva9asITk5ma5duzJ27Fhq1apV4v3l5+dz9OhRMjIyGDp0KJs3byYiIoK8vDw5kxUGRwpW/KW4uDiWLFmCTqfD1NQUR0dHfH19S7w/tVrNxo0bWb9+PS4uLvzrX/+iefPmbNq0iaioKAoLC8swvRD6JwUrnurq1assXbqUzMxMBg8eTKNGjTh69Ci7d+9GpVIVe39arZZdu3axYMEC7O3tmTFjBrVq1WLmzJnY2Niwbt06du7cWQ7vRAj9kYIVT0hKSiIsLIzo6Gjmz5/PqFGj+O6773Bzc2P48OEcOHAAtVr93PvTaDScPHmSsWPHEhAQwIwZM4qu4VpaWjJ37lxsbW354Ycf2L9/f3m9LSEqnMzkEo8pLCwkLCyMrVu38sUXX9CmTRtMTU1xcnIiICAAgM8//5w6depQv359zMyePdJPp9Nx8eJF+vXrR/fu3fnggw+oX7/+Y9tYW1sTEBBAXFwcixcvpnXr1tSsWbPc3qMQFUUKVjxm5syZHDp0iEGDBtG7d++itQUAnJyc8Pb2xsLCgqVLl2JmZoavry+WlpZ/OfX1zJkzTJo0iSZNmjB27FiaNGny1OM6Ozvj7u5OSkoKc+fO5aWXXsLNza3c3qcQFUEKVhTZsGEDu3fvpnnz5oSGhmJtbf3ENo6OjjRo0IC7d+9y8OBBcnNzqVu3Lra2tk9se+rUKRYuXIhSqeTTTz+lWbNmzzx+zZo1cXV1JTY2lqNHj+Ln54e7u3uZvT8hKpoUrECj0RATE8PixYsJCAhg1KhRuLi4/OX2tra2dOjQgStXrnD8+HFyc3OpX7/+Y+sRJCQksGrVKuLj4/nkk09o167dc2WpVasW/v7+rF27lqysLDw9PXF1dS31exRCH6RgjZxWqyU+Pp5//etfeHp6MnLkyCeukT6Nubk5Xbp04datW+zatYvs7GxatGiBhYUFDx48YMaMGVy5coX333+frl27PneeR6tw+fv7s2zZMu7du0eDBg1kmUNRJUnBGrnbt28zc+ZMcnNzmTRpUtGNrOfVsWNHqlWrxrp167h69SqdO3dm8uTJXL9+nREjRtCzZ88S5fL29sbd3Z3t27dz5coVXn31VSwsLEq0LyH0RdYiMGLJycksXbqUyMhIVq9eTcOGDTE1NS32fnQ6Hb/99htTp05FrVZjbW3N+++/z5tvvlnqjJs2bWLdunV4eHiwaNGiUu9PiIokZ7BGKi0tjaVLl3LgwAE+++wzOnToUKJyhT8+1nt4eODr60tSUhKjRo2iU6dOfzuE63nUq1cPExMTYmJiuHDhAp06dQKQBbtFlSDLFRqpjRs3Eh0dzSuvvFLij/F/ZmpqSocOHbC0tKRZs2aYmZmVugR1Oh1WVlb06NEDlUrF2rVrWb58OUOGDHnm0DAhKgspWCO0fft2Dhw4QKNGjQgNDS3Tfbdq1aro30tbfgqFAp1OxwsvvEC/fv3Iyclh7dq1ODg48MYbb8iC3aLSk4I1IlqtlosXLzJ9+nRatWrFhAkTKv0400clbW1tzbhx47hz5w7Lli0DICQkRJ/RhPhbcpPLiKSmpjJixAgcHR2ZOHEibdq00XekEpk0aRLx8fEMHjyYAQMG6DuOEH9JCtbAPbpOmZaWxuTJk9HpdHz88cfFHo5VmRQWFvLFF19w5swZRowYQd++ffUdSYinktW0DNijck1OTmbhwoVcuXKFt99+m0aNGuk7WqlYWFjw7rvv0qJFC5YsWcKePXv0HUmIp5JrsAZMoVCQlZXFxo0bOXr0KKGhobRv377Ew7EqEy8vLwYOHMj9+/f58ccfsbOzo23btjKqQFQqcgZr4LZu3crBgwdp164dI0aMwNzcXN+RysyjURBmZmbMnTuX2NhYfUcS4jFSsAZKp9MRHR3N9u3bqVmzJlOmTNF3pHLRsGFDZs6cyYULF1i+fDlnzpzRdyQhikjBGqBHC7hMmTIFLy8vJk2ahJ2dnb5jlZt69eqxZs0aDhw4wKxZs4iPj9d3JCEAGUVgkHJycujXrx++vr6MGDGC5s2b6ztSudPpdBw4cIApU6bg6urK0qVL8fDw0HcsYeTkDNbApKSk8J///AcTExP69+9vFOUKf9zQe/XVV5k4cSIFBQWMGzeOrKwsfccSRk4K1oCkpaWxadMmEhISCA0NpXXr1vqOVKFMTEzo168fQ4YMIT09na+++ors7Gx9xxJGTIZpGQi1Ws2OHTvYuXMngwcPpnv37oDxrTplbm5O3759USgUzJw5k3r16jFw4MCip9gKUZGkYA2ATqdjx44d7N69mzp16vDWW28Vfc+YyvURGxsb+vTpg0ql4vvvv8fR0ZGePXs+9blhz6JSqcjNzeXBgwdotdqir+t0OszNzXF0dHzsMTlC/C8pWAMQERHBggULaN68OTNmzNB3nErBxsaGYcOGkZOTw+zZs9FoNAwbNqxY+7h69SqzZs1iyZIlT3zP3d2dqVOnMnr0aIMaWyzKlhRsFXfnzh3mzJlD06ZNGTt2rL7jVCoWFhaEhoaSl5fHhg0bKCws5O233y7WPpRKJaampsTGxuLo6IhGo0GlUrFnzx7ee+89wsLC2LJlC56enkZ3OUb8PSnYKuzmzZtMmDCh6Dqjt7e3viNVOtWqVSM0NBS1Ws2uXbuwsrJiyJAhz/16hUKBubk5jRo1euwJDY6OjuTm5vLZZ58xe/Zsxo0bh5eXV3m8BVGFySiCKiotLY05c+ZQUFDA4MGDjW7EQHFUr16dESNG0LBhQ8LDw0u0OEx+fv5jf65Rowbvvfcebdu2Zf369TJNVzyVFGwVlJ2dzY4dOzh06BDjx48nMDDQIBZwKS86na7o5l+9evWYO3cup06dorRzbGxsbOjfvz+pqalcunSpjNIKQyIFW8UolUoiIiIIDw9n4MCBdOnSRcr1bzx69EzdunX5+OOPcXBw4Ntvv+X8+fOl2q9Op8PPzw9nZ2du3rxJampqGSUWhkIKtorZtGkT27dv58UXX2TSpElyU+U5Pfrv5ObmxsKFC3nw4AGzZs3i1KlTpdqvWq1Gp9Nhamoqv+jEE6Rgq5Do6Gg2btyIm5sbEydO1HecKsvW1pYFCxaQnp7OvHnzSlWyj2582dnZ8cILL5RVRGEgpGCriCNHjvDll1/SsGFDPvroI+zt7fUdqUqrXbs2U6ZMKRone/ny5WLv49GqZVlZWTg5OVGtWrVySCqqMinYKuDu3bvMmjULZ2dn+vfvj6+vr74jGYSXXnqJgQMHkpuby4wZM7h582axXm9hYcGWLVtwdXWlbt265ZRSVGVSsJXc3bt3WbduHXfv3mXcuHFV9kmwlVVISAh9+/YlISGBefPmkZqa+tTRBVZWVo/9OScnh/Xr1/Prr78yYMAAWrZsWVGRRRUiEw0qsdzcXHbt2sX8+fOZM2eOjHUtJ48Whxk9ejQeHh4MHz4cR0dH4I+RAmq1msTExKKZXIWFhezevZvQ0FBatGjBxIkTqV27tszkEk+Qgq3Etm7dyvz585k0aRKdO3fGwsJC35EMVs2aNXnppZf48ccf6dSpU1HBWlhYoFaradiw4WPb165dm4iICF5//fWi/y9SruJ/yRMNKqlVq1axfft2GjduzNSpU5/4iCpK7/bt2+zcuZMdO3aQkZFB69atmTNnDsePH6dNmzaoVCru37/P/fv30Wq1RZcOdDodlpaWuLm5yf8X8UxyBlsJ7d69m/3791OvXj1Gjhwpf4nLkE6n48qVKyxatIikpCQcHR158cUXadGiBS4uLsydOxeNRgP8sbZs9erVqV69up5Ti6pKCraSiYuLY9myZXh4eDB06FB8fHyK9Xq5Dvh0t2/f5siRI5w/fx6lUkleXh4NGjSgZcuWdOjQgZo1a6JSqTA1NS31FFohHpGCrURu3rzJ7NmzKSwspGfPnjRt2vSp2+l0OlJTUzl+/HjRNFBHR0f8/Pxwd3ev4NSVl1qtJikpiRs3bhAdHU1sbCyFhYU0bdqUDz/8ED8/v8dmXymVSj2mFYZICraSSEtLIywsjMOHD7Nw4UICAwP/cts7d+4QFhbGv/71L6pVq0ZhYSEODg588MEHTJ06tQJTVz5arZbCwkLu379PfHw827Zt49ChQ5iamtKvXz/GjBkjkzREhZGCrQTy8/M5ePAgq1atYuXKlbRt2/aZ2+/atYuffvqJpKQkPDw8yMvLY9CgQaxcuZIGDRoQEhJSQckrn9u3b7N7924iIyO5fPkyISEhLF68mMaNG2Ntba3veMLISMFWAhs2bGDRokX885//pHXr1lhaWj5z+5CQEDp37oynpyfwxzz43r17s3btWo4cOWJ0BavRaEhISOCbb74hISGB2rVr061bN7755hvc3d2xt7d/bLFsISqK/NTp2erVq9m+fTudOnWiT58+fzufXafTYWdnh52d3WNfVygUmJmZGdVZWkpKCtu3b2f//v2YmZnh4+PDyy+/TP369alfvz6urq76jiiMnBSsHu3fv58dO3bg6elJaGjoE6X5NH81QuDMmTNkZGQ8MSDe0Oh0OmJjY4mNjeX06dOkpKTg5uaGv78/3bp1w9fXV85WRaUhP4l6cunSJZYvX46TkxPDhw8v1fOczp49y8mTJ3FycqJ9+/ZlmLLySE9P58aNGyQkJBAbG8vly5cxMTEhMDCQ0aNH4+DgoO+IQjxBClYPsrKymDdvHhYWFgwaNKhUC7gUFBQwc+ZMAIYPH17scbOVmUajQalUcuPGDQ4fPkxkZCQ3btwgODiYadOmycI3otKTgq1gmZmZLFu2jKNHj7JgwQI6duxY4n2pVCqmTZvG4cOH+e9//8vQoUPLMKl+5eXlcePGDebMmcPhw4fx9fWle/fuhISEUKNGDXl6gKgSpGArUHp6Ohs3bmTbtm3MmDGjREvcPZqplZuby9dff823335LeHg4ffr0KYfEFS89PZ3Vq1cTHh6OiYkJnTp1Yu7cuXh7e1OjRo3nuk4tRGUhBVuBoqKi2LRpE4MGDSIwMLBEK+ArFApu3brFkiVLWL9+Pdu2baNXr17lkLZiHTt2jKioKM6dO4eZmRk9evSgYcOGBAQE4Onpibm5ub4jClFsUrAVJDIykgMHDtC6dWuGDh1aqseL7N27l+nTp6PVajl//jznzp1DqVSiUqnw8PBgwIABuLu7V/o1CZKTk4mOjiYuLo6MjAwKCgrw8/OjRYsWBAUF4ezsrO+IQpSKFGwFOHHiBOHh4Tg4ODB58mScnJxKvC+VSoWJiQnNmjXD0dGRyMhItFotCoUCpVKJn58fwcHBuLm5VcqCVavVpKSkcPnyZS5evMiePXtQKpW0b9+enj17/u0sNiGqElkPthzpdDrS0tIYP348Tk5OjBo1itatWxvlilcPHz4kIyOD5ORkfv75Z3bs2IGPjw9BQUGEhITg4uKi74jk5ubi5OTE4cOHDXa4m6hYcgZbjtLT0xk3bhxarZbOnTvj6OjIhQsXqFGjhlHNMsrMzGTlypWsW7eOhw8f8vrrrxMWFoa3tzd2dnaYmMij4YRhkoItY4/OTtPT0/nss8+IjIzE1taW+Ph47O3t0Wg03Lt3D6VSiZubG/Xr16dNmzZ06dIFPz8/fccvM4WFhfz6669ERERw5MgRatSowZgxY3jxxRfx9PTEzs5OZlwJgyc/4WVMoVCQk5PD1q1b+e2335g7d27R9dBH/zx8+JCcnBwePnxIVlYW58+f58CBA8Afj5Lu378/Hh4een4nJZOcnMyWLVv49ddfUavV1K1bl3fffRc/Pz+aNGkiN66EUZGCLWN5eXmEh4cTGRnJ4MGDGTNmzF9uq1QquX37NleuXOHcuXPExcVx+vRpzp07R/v27enWrVvRilmVmVarJT4+nr1795KcnMy1a9ewtramWbNmBAYG0qxZM7kMIIySFGwZ27lzJxEREbi5uTF58uRnbmtlZUW9evWoV68eb775Jkqlkp9//pl58+Zx69YtMjMz6dKlC02bNq2UH6fv3r1LQkICt27dIi4ujiNHjuDt7U1wcDDdunWTpysIoyejCMrQxYsX+fzzz6lWrRrffPMNtWrVKtF+tFotW7duZfny5SiVSqZNm0bbtm0rxVKEhYWFKJVKMjMz2b59OxEREaSnpxMYGMi4ceNo1KiRviOWmIwiEGWt8p0WVUE6nY6MjAzGjh2Ln58fEyZMKHG5ApiYmNC3b1+aN2/OvHnz6NGjBwsWLKBXr17Y2tqWYfLiycrK4siRI+zbt49du3ZRv359Ro4cSVBQEO7u7vKwQCH+hxRsGcjLy+PDDz+kbt26DBs2rMzWZK1Xrx6TJk3C29ubqVOnotPpCAkJwcbGpkz2/7xSU1NZvXo1P/30E4WFhXTu3Jn58+fj6+uLi4tLUR5jG9srxN+Rgi2hR8OxcnJy+P7777l//z4TJkygXbt2ZXocT09PBg0aRGpqKosXL8bKyop+/fqV6TGeRqfTERcXx0AG/jAAABJqSURBVJIlS7hz5w4KhYJXXnmF1q1b06BBA3x8fGR9ACH+hhRsCT1a0WrLli3s2rWLcePG0b59e8zMzMp8plaNGjWYMGEC165dY8eOHdSsWZMOHTqU2f7/7Pbt2xw7doyLFy8WDSPz8/MjICCAVq1alerShxDGRgq2hNRqNVFRUYSHh/Pyyy/Tu3dvrKysgPL5qOzm5saUKVP497//zebNm2nfvn2ZHSc3N5e7d+9y69YtYmJiOH78ONnZ2TRr1oyPPvqIxo0bl8lxhDA2UrAltHv3bjZv3kz16tWZMWNGhRyzZcuWdOzYkePHj/PLL78QHBxc4n3pdDoKCwu5c+cOx44dIyYmhgMHDuDm5ka/fv3o3bt3qRalEUJIwZZIYmIiy5cvx8zMjOnTp1fosbt168bNmzdZu3ZtqQo2NTWVjRs3smbNGnJzc+nVqxdLliyhcePGeh2pIIQhkYItpvT0dCZOnIidnR3vvvtuhc+0aty4MS1atGDdunVcunQJf3//554lpdFoOHXqFPPnz+fatWu4u7szZMgQOnXqhIeHB46OjnLjSogyJAVbDAUFBXz44YdUq1aNwYMHl9uNpr9Tu3ZtXF1dOXHiBPXr1//bgk1JSSEyMpJDhw6h0Wjw9vamU6dO+Pn54eXlhZubWwUlF8K4SME+p/v37xMeHs6FCxeYOnUqnTt31tv8ejc3N2rXrk10dDT9+vV76llndnY2iYmJnD17lsuXL3Pnzh1sbGzw9/cnODiYJk2a6CG5EMZFCvY55OXlsXfvXrZu3cqIESPo2rUrFhYWels4293dnRYtWrBjx44nvpeRkcHVq1c5fvw4V69e5erVq9ja2tK1a1f+8Y9/yI0rISqQFOxzOHjwIKtXr6Zjx46MGzeu6Ov6mrnk4OBAcHAwHh4eWFhYoFarKSwsJDk5mb1797J69Wru3btHUFAQX3/9tZytCqEnUrB/47fffmPDhg3odDrGjx+v7zhFrK2tefHFF1EqlRw9epSVK1dy9uxZfHx8GDx4ML1798bFxUVuWgmhR1Kwz3D06FFmzZpF9erV+fbbbyvV8KXMzExWr17Nli1bUKlUvPnmm4wfP56aNWtia2uLvb29viMKYfSkYP/CnTt3mDVrFtbW1gwbNqxSTBG9d+8ep06dIjo6mvPnz2NtbU23bt1o0KABrVq1ok6dOvqOKIT4EynYp8jIyGDmzJkUFBQwdOhQvQ3HeiQlJYVjx45x+PBhcnNzsbKywtfXl5YtW/LKK69QvXp1veYTQjydFOz/uH//Ptu2bWP//v1MnjyZoKAgveTIz88nNTWV69evc/78eXbu3ElGRgaBgYEMHTqUFi1a6CWXEOL5ScH+iUajISYmhrlz5zJ58mR69OhBtWrVKjRDfn4+9+/f59SpU0RGRnL8+HFq165Njx496Nu3Ly4uLhWaRwhRclKwfxIVFcXixYsJCgoiJCSkwh/Rkp2dzYoVK1i3bl3R+gDbtm2jdu3aAPLgQCGqGCnY/xMVFcW2bdto2rQpkydPrrByzcnJ4ddff2X37t0cPXqUOnXqMGbMmKKbVk5OTvKkACGqKClYIC4ujrVr12JiYsLIkSNxcHAo8b6ed3ZXSkoK27dv55dffqGgoIBmzZrx/vvvU7duXRo2bIizs3OJMwghKgejL9jExERmzpyJmZkZgwYNol69eqXan0KhIDY2loiICNzd3bGzs8PLyws/Pz+sra25du0ax48f59atW8THx2NlZUXbtm0JDg6WG1elVNqpyy+88EIZphHCyAs2JyeH+fPnc+HCBf75z3+Wan3VP0tKSmL9+vV4e3tjZ2eHra0tvr6+VKtWjatXr5KUlEStWrUICgoqmvJaUjdv3uTGjRt4eXnh5eVl1JcTFAoFCQkJ3Lp1CzOz4v1om5ubc//+fTQajVzrFmVHZ6QePHig27Fjh87Pz0+3fft2XWFhYZnuX6vV6uLi4nTbt2/X9ezZU1e9enWdqamprnXr1ro9e/boNBpNqY+RkpKie/vtt3WA7pNPPinz91AVDRs2TAeU6p+TJ0/q+20IA2GUZ7A6nY4jR47wwQcf8Pnnn/PKK6+U6Zz9e/fuceTIEXbv3s3OnTupX78+c+bMwd7ennXr1jF48GD++9//MmDAgBJ/LL1y5QrdunXjxo0bABX+KO/KytLSstT70Ol0ZZBECCO9RLBjxw7mzJnDmDFj6NmzZ5nN209LS2PdunVs2rSJ/Px8Bg8ezJo1a6hZs2bRwiv+/v60b9+eb775hvz8fIYOHYqjo2OxjnPmzBm+/vpr8vLyWLFiBZMnT0apVJbJezAUjRo1IjIykoKCgr8tTBsbG37//Xf69+9fQemEsTC6gt23bx/h4eF4enoycuTIYpfb/1KpVMTExBAZGUl6ejoajYaXX36Zli1b0qZNG3x8fB7b3sfHh/79+5OXl8e6desoLCxk1KhRxcrh7u7O22+/zZAhQ6hduzYWFhZotdpSvQ9DY2NjQ926dZ97+7y8vHJMI4yVURXsyZMn2bRpE5aWlowZM4YaNWqUeF8pKSn8+uuvxMbGkpGRAYC3tzeNGzemXbt2z1wcpnr16rz33nskJyeze/dunJ2dGTFixHMdV6fT4erqSpcuXQA4ffo0arW6xO/DUBX3F05+fn45JRHGzGgKNjs7mwULFpCfn8/o0aNp1apVsffx4MEDMjIyuH37dtFjrtPS0ggMDGT8+PF4e3s/975sbGz44osveP/999m5cyddunR5rhW7/jxKQKvV6u2pCkKIv2cUBZubm8vSpUuJi4tj/PjxvPbaa8/9Wp1Oh0ql4s6dOxw7dozjx4+zf/9+XFxc6NevH7179y7xpABHR0eGDx/O+vXr+fHHH5k5c2aJ9iOEqJwMvmBzcnLYvHkz8+fPZ/ny5XTu3LlYr7979y6rVq1i0aJFPHjwgHHjxrFp0ybq1KmDhYVFqc8eu3btSlJSEgsXLiQxMREfHx8ZhymEgTD4gv3tt9+YNWsW//nPf2jbtu1zvUaj0RAdHc3KlSu5desWNWrU4J133qFTp054e3vj7OxcpiXYqFEjmjZtypYtW/jwww+xsLAos30LIfTHoAt2586dLFy4kO7du9O9e/e/HXOamprKTz/9xOHDh8nLy6Nx48Z07doVHx8fvL29cXd3L5ecAQEBdOzYkW+//ZZ33333mQX752uuJiYm2Nvbo1AoqFatmjx/S4hKxmALNjo6mk2bNmFjY8P777//lwu43L9/n8TERM6fP098fDx37tzB1NSUdu3a0adPH+rXr1/uWe3s7GjUqBE5OTlcv36dJk2aYGpq+tRtFQoFKSkpREdHExcXR0pKCmlpaURFRVFQUECtWrX4xz/+gaurq9z8EkLPDLJgr1+/zsqVK8nLy+OTTz556t35zMxMEhMTiYmJ4ebNm1y+fBl7e3t69OhB165dK3w1KxcXFzp06MCpU6eoU6fOM1f0ysjI4ODBgxw8eBBLS0tefPFFCgoKWLduHf7+/gQGBuLi4iIFK0Qx5OXlkZycjLm5ebFGBD2LwRVsZmYm06dP5+HDh4waNeqx4VgqlQqNRkNKSgo7d+5k3rx5ZGVlMXLkSGbNmoWfn5/ectva2tKsWTPOnDlDly5dnlmwAQEBLF68uALTCWH4bt26xQ8//IBWq2XcuHH4+vpiZWVVqn0a1O1qtVrNnDlzyM7OZuDAgY89T6ugoIAjR47w9ttv07NnT/bs2UNoaCgnT57kq6++wtfXV4/J/1gqr1mzZpw7d47c3Fy9ZhHCGPn7+zN48GBu3rxJhw4d+O6770q9zzI/g83OzmbDhg2sWLGCO3fuFM0D12q1uLu7ExUVhZubW1kflvz8fDZt2kRERAT//ve/6dmzJ/DHGW1YWBgREREUFhYSHBzM2LFj8fT05IUXXijV4tplydzcHBcXF7Kzs1GpVPqOI4RRateuHUuWLOH48eNs2LCBRo0a8d577zFkyBDs7OyKvb8yL1iVSsWtW7eIjY1l4sSJNG7cGK1WS1JSEsuWLWP48OEsXboULy+vMjtmXl4eO3fuZOPGjUyaNImmTZty7Ngx9u/fT1xcHC4uLnTq1Ak/Pz/atGlTrDnqFcXc3Bx7e3tSU1MpLCzUd5wqr7jrwZbVgj+iarO0tKROnTp4eHjg4uJCdHQ0mzdv5vz58wwdOpT27dsXa39lXrAKhaJouNDo0aNp0KABAEqlksLCQmbOnMmpU6fKtGCPHTvGli1bim7srFixAqVSiUKhoEGDBnTp0oXmzZtX6mFMCoWCunXr0r59e1xdXfUdp8p6NMQtJSWFxYsXP9enAUtLSxISEor+LEs/CgsLC1599VVeffVVPD09uXDhAuHh4Zw4cYLu3bs/sYjTXynXm1w5OTlF/25qakrPnj2ZNWsW165dIzs7u9QrWQFcvHiR1atXc+jQIQYMGMCUKVNIS0ujTZs2DBs2jNatW6PT6YiJiUGj0VTatT5NTU1RqVR4eXlx4sQJbt68KZcKisnOzo7ExETgjyc9vPvuuyXaz+HDh8nJyeHhw4dlGU9UMQqFAhMTE9q0aYNCoWD27NmcPXuWxMRE3n77bRo2bPi3J23lWrB/Hiak0WjIyMjAxMQEa2vrMjub3LlzJ/v37yc3N5cVK1ZgamqKo6MjV65cYfLkyWg0mjI5TkUxNzdn6dKllfYXQWWm0+mwtLTEycmpxK/X6XR8+OGHaDQaGeYmimi12qIuWbZsGZmZmXz77bd4eno+83XlWrB/LtH09HTmz5+Ps7Mzbdu2xdbWtkyOERwcTOPGjfHw8MDPz0/WRRUlolAo0Gq1pKWl4ezsjKWlpfySE5iYmKDVatm9ezdLliwhKSmJd999lz59+jzXs/TKpWAfXYft2rVr0fWsBw8ecP/+fb777jsaNmwIlP4poAC+vr7Uq1cPCwsLWSRFlFplvAEq9OfWrVvMmDGDkydPEhAQwKeffkrTpk2xs7N7ru4qtzNYtVrN8OHD8ff3R6VSoVQquXHjBtu2bUOj0dC/f/+/Pb1+HrIwihCirD148IDw8HAiIiJQKBT06dOHoKAgGjRoUKwTuXIp2EfXskaNGlU0igD+eJx19+7dmT17NvXq1SuTghVCiLKiVquJjY0lKiqKuLg4PDw8CAoKIigoCGtr62Lvr1w/U/95FAFAnTp16Nu3L7dv3y56GqoQQlQGGo2GY8eOsWTJEnbv3k3r1q2ZN28evXr1wtraukTX5CtsFAHAw4cPyczMxMzMrNRzfIUQoiylpaWxYcMGVCoVy5cvp3Hjxo99vyT3iypsFAHAiRMnWLJkCS+++CJNmjQpz0MLIUSxeHh4MHv2bHQ6XZkNIy3zgtXpdCiVSgA6deqEg4MDWq0WlUqFSqWib9++jB8/nmbNmpX1oYUQosQUCkWZ3zRX6Mp4sJ9SqeTKlSucP3+enJwctFotCoWiaBB4hw4daNSoEVA2w7SEEKKyKvOCFUII8QcZmS+EEOXE4J5oIERxKJVKlEpl0RoZxV3mUIhnkTNYYdS+//573NzcaN26Nfv27UOtVus7kjAgUrDCaGVlZfHbb79RUFCAo6MjERERsliQKFNSsMJoHTp0CAsLC/r06UPLli355ZdfSE9P13csYUCkYIXR2rZtG3Z2doSGhtKhQwdu3rxJbGws+fn5+o4mDIQUrDBKBQUF7N+/Hzs7O1577TWaNm1KtWrV+Omnn8jOztZ3PGEgpGCF0VGr1URGRlJQUFC02puVlRUvvfQSO3bsIC0tTc8JhaGQghVGR61Ws3XrVgIDA4sW9HB2dqZHjx6kp6dz8uRJ8vLy9JxSGAIpWGF0UlJS2Lt3L02aNCEgIAAABwcH3nrrLczNzTlw4ABJSUl6TikMgYyqFkblwYMHHDt2jOzsbNasWcPJkyexsbFBoVCgVqspKCggMjKSAQMGPLFcnRDFJWewwqhkZ2ezfft2fH19ad68OU5OTpiYmBQ9R65nz54olUpOnTpV5Z5ILCofOYMVRuXmzZscOHCA0aNH8+WXXz6x8PudO3c4c+YMv//+O6dPn6ZVq1Z6SioMgZzBCqORnZ1NTEwMOTk5BAUFPfXhda6urjg7O3P16lUSEhL0kFIYEilYYTTi4uLYt28ftWvXplWrVn+5uHKfPn1ITk5m586dFZxQGBpZD1YYjQcPHpCamoparcbf3/8vF3vPyMjg9u3b2NnZ4ePjU8EphSGRghVGoaRPz5CnbojSkIIVQohyItdghRCinEjBCiFEOZGCFUKIciIFK4QQ5UQKVgghysn/A3EeRbdOmkwOAAAAAElFTkSuQmCC)
From the diagram given below, we can say that ΔABC and ΔPQR are ___________.
Therefore, according to RHS rule, ΔABC and ΔPQR are congruent.
From the diagram given below, we can say that ΔABC and ΔPQR are ___________.
Therefore, according to RHS rule, ΔABC and ΔPQR are congruent.
Find the value of x.
![](data:image/png;base64,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)
Find the value of x.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKIAAACHCAYAAACVk4KeAAAXRElEQVR4nO2de1zN9//An4Uu5BYpKuqcJJfoRE5r7Pabr7GN7UvkfqcLG7ZhvszGMLu4NRXDGEJshm02120uk1vulDplpAslla7n8vsj9dV3kU6n8/lUn+fj4Q+fy/v9+mxP79d5vz/v9/tjotPpdEhICIyp0AFISIAkooRIkESUEAWSiBKiQBJRQhRIIkqIAklECVEgiSghCiQRJUSBJKKEKJBElBAFkogSokASUUIU1NXnps3X7vPDF3No0UaOTWsZLdrIae7ozJC2VoaOT6KWoJeIGalJ3Lx0jmRVDOl3/kZdUICJqSkr7NvQUt4OW5krdjJX7GTtsG7lyCAnc0PHLVHD0EvE5g5O5GQ94JVRQXTrO4B7txNIUcWQ/OjPuX0/kJ50G4B6FpaEOLlgJ3d7JGfRn9Fd7Az6IBLVGxN9J8b28R1B/UaN8ftoaZnn83MekpIQS4oqukTQZFUMOQ/uA2Bl3bxISnk77GTtsJO50qKNC0NdG+r/NBLVFr1FDFoUzImdm5i961iF7stKu0uSKpqUuBiSH0maejO2JL03s2/z35bzkaRSeq/56C3iV/tOExowiOmb9mHTWlapILQaDWmJN0mOe7z1jCb9zi2gKL3bOrmUtJxFgkrpvSah129EAHvXjphZNiAuKrLSIprWqYNNaxk2rWW4v9yn5HhBbg4pCbEkx10vEfTq8UMl6X15cXp/TFApvVdP9G4RAV73G4WZZQOGfrzckDGVS1ba3ZJWs7gVfWJ6lxX14pvZtzZIel937jYndm6ip99YCnJziNy9jZdHTGJ4e2sDPFntRe8WEUCm8ObPrWsNFcsz07CZDQ2b2dDW6/mSYyXpvTi1x0Vz7rcfS6X3kFLpvUjSiqb37PQ0/ghfQ7e+A8i+f48/wtfgM3AEIIlYGSonokd39oV+Tkr8DWyd2xoqJr0old5feq3keEl6L+69x0U/Pb3LXGnh5MJQ10ZCPUqtpFIitmrbAfMGVqjORwou4pMws6yPY/vOOLbvXOp4qfSuiiH+/ClO/hiOuiAfE1NTVpaR3q1bOQr0FDWfSok4WGbJpi5exJ2L5Lm3hxsqJqPwTOldFU3U/t2k37mFTqejnrkFTVs6AHD2111YNZXSsaGoVGcF4N0vVnNkUxhz9pzExMTEUHGJisfTe9y5k1w4+BOWVo3Izc4EoH7jprRycSv19khK7xWj0iKuOHCe4Alv88763bSUuxkqLtFy58Y1gse/xXubfyP1Ziyb/hPEK6OCyEi5Q4oqhpSE2KL0bmJCM/s22MpcafloYL44vQ92thD6MURHpVIzgJ2LG5ZWjVBFnaoVIj5O/UZNAFD296NRsxbAs6X3UOe2RYLK2mEnd8VW1o4xtXxwvtIiDna2YItHd1RRkTw/cKQhYqrWPLH3npdLSvyNx3rvMVw/fpiHj3rvK5o2w05WJKXdo1a0NqX3SosIIFMoOfRtMFqtFlNTaa5tWZhZWJbde0+/R4oqhqRHb48SLpwmcvfWkvS+8lF6Lxlikrerkem90r8RAYIPX2LF2H5M+WYXrVw7GCIu0aJRq8l5cJ8GTazR6bTkPMigQdNmBv0HqNVqSUu8WTK1LinuOimqmFLp3fZRev/vBBG3ap3eDSJiREI+n/Z/jpeGTaTn4LGGiEuiDIrTe4oqhiRVNMlxMaSookvSu9X/pHc7mSu2zm2rRXo3iIgA/UdOQqMuZNTiMEMUJ1EBitP742+Pyuq9P/4Gydq+tajSu0F+IwLIPZX89s0ytBoNpnXqGKpYiWegoXVzGlo3x6WbT8mx4vR+/cQRft+ymsL8PM4f2FNm7/3xN0hjPFoK8gwGE1Gm8Cb/YTZ3blzFwc3dUMVK6ImpqSk2js7EmP4JOhi9ZA0mJial0nvxENP1E0d4mJEOwPIm1o/WHRk3vRtMxMkvdmBt02aooiIlEUXEvds3aeEkL3nrVV7vvTi9J1w8U6r3vsK+9WOp3fDp3WAiAjh7dCcuKpIXhow3ZLESleDB3WQa25Tfm35aek95bHD+/MG9pCeuKknvIU4uNLWzp2/ADCZ66z9B2qAiyhRK9oV+gUatpk5dgxYtoScPUpNKyVURitO7jaMznV7sXXK8IC+X1ITYohnzxw5x5egBHDt4gLe/3nEadPRZrlBSkPuQxJgrhixWohIUFuRRz9ywvWMzC0sc3NwpyM3h+l9H8Oz9Fs8PHFGpMg0qYmBPNxpa26CKOmnIYiUqgbllAwpycwxaplajYfey+exd+Sm9x09je+hX+MkbVKpMg7+Pk3kqUZ2LNHSxtYrMtFTSEv/+x/G87CxuXj5HbtaDf5wrzM9Ddf4UD1KTSx03r29Ffs5Dg8WW9zCbjbMmcXbf9wybH8zXsycbpFzDi+ihJOHyOTTqQkMXXStQFxawYcYE/tq1pdRx1flTbP1kGjkPMti9fD5Xjx0qOXf3Vjyb50wmOS6aA+tXcHL31pJzVtbNeHC3tJz6cj85kbAgP5JirzNx5WY+GfmGQcqFqhBRoaQwL5fb1y8ZuuhawZHvQkvG9IrJzcrku9kBvB70Ie2ff4XXA2cRsWgG9x9t63J02zp8Zy/BZ8AIBsxcROyZE6gLC4CiZb+G+H/x95XzhPj7YmJqStDqnUzr3bXSZT6OwUUMeL4tjWxsiZPSc4WJv3CGumbm2LSWlzp+dt/3mJlb0sKp6HjDZjY0t2/Duf27gaLtXSwbFg04m5iYUM/cAq1GA4Bj+848zEgvkVYfLhz+mW+mjsDBzR3/r7cy3qu13mU9iSqZsyVXeKOKkkSsCHnZWZzas63MMdgrRw/S3NGp1DGbNnKi//odgK59/s2ur+aREn+Ds/t+wNyyPmYWlgDYt+uEmWV9rj26tqIc2riKbZ9MR9l/KCMWhTK8fVO9yimPKhFRplBy8/K5kvQgUT771y6j17h3yxx/zUpLxapps1LH6pmbk/ZozbZr954o+/lx4dDPmNapw5vvzn3sOgs6v9yX03sjKhSPuqCA7Z9+wOGNq+g//WM2fjGvSidJVMmos1yhRF2Qz62rF3Du4lUVVdQoLv3+K/Zu7k9crlpYkI/p/wiq04FOqy35e1mv7YrxesOXM7/sJOHSWZzcy/9t9zAjnU1zJpOsimbUkjX8Z+ArFXga/aiSFnGit4wmtq2IOyeNJ5ZHdkY6f25dS506dTl/8CfOH/yJrPS73P1bxYXDPwNQv2ET1AX5pe7TFBZgXv/Zxu5ad/TA2aM7e1YsQKNWP/Xa1JtxhAQMIvNuCgEh240iIVThHtoyhRLV+VNVVXyNISfjPnXNzIjcs5XI3eFE7g7nwd1kkmKvc2rPdqBIpNyszFL3ZaWlPrEFLIu3359PakIsx7avf+I1sWdPEBo4GKumzQlcvYPJLxpvtn2VvRCWK7z54cs5FObnU89c2tvwSbRwkjMpOLzUsXXTR2Pr7MobU2YD0OnF3nw325+CvFzMLCzRajQkRl9h4IefPXM9No7O/Gv8NH4N+4IGTZvRre+AUudP7Y1g97KPcX+5DwNnLjb6fuhV1yJ6KtEUFvL3laiqqqLW4NLNh3beL3Lu110AXDz8C/ZunWj/fMXS5gt+43h5RADfL5nNgfUrKcjLRavV8nPIZ+z6cm7RubXBgmzKb7ClAmXR3ecFPF59k17j3q2qKmokkXu20dC6OR16vFpyTKNWc2z7egoL8qlrZkYP3zHUNTPTq/zjOzayf90KzCwtsWjQkPSkW/jO+oyF4weUf3MVUaUi+gV+wN1b8fh/HV7+xRJGJSk2mnXvjSYnM4ORi0OZO/hfgsZTpYuQZZ5Kbl+7SGF+XlVWI1FBEmOu8O2M8TRo3JT3w/cLLiFUsYhyhRKNupCbl85VZTUSFeDK0QOsnjIMO+e2BIRsZ5K3vPybjECVijiuqyPNHZyIk+YnioI/t65ly9wpeP6rP6OWrGFEx2bl32Qkqnw+v0yhlN47C4xGXciPSz/h7C876Rs0ixXvTxQ6pH9Q5RvVyDyV3L5+yaCTMyWendysTNa/P56Lh39mxKJQUUoIxhDRQ4lWoyHh0tmqrkrif0i/c4vQwMHcux3PpOBwPhrSu/ybBKLKRRyraIVNGxnx0us+o5Jw8Qyr/H0xs6xP0OqdvPtqF6FDeipG2UNOrvCWJkAYkaj9u1k7bTROnbsyceVmxnk6CB1SuRhFRJlCSWLMFfIeZhujulqLTqdj/9rlRCycQY9Boxm+4GuGtWssdFjPhFFWwcs8uqPTakm4eAa3514yRpW1jsL8fHYunsXlP/czYMZClgQOFTqkCmGUFnF0FztsndtK44lVRPb9NL6ZOoIbp48x9st11U5CMFKLCEXpOT5K6rAYmmRVDBtnTaJO3boEhEUQ2KOd0CHphdE2vJYrvLlz4+o/JnhK6E905J+EBfnRxLYVAaHVV0IwoojOHl7odDriL5w2VpU1mr92bWbjrEl07NmLcUu/ZXRnW6FDqhRGE3GUewtaurhJr/sqiVajYc+KBexZvoBeY98lYvUyhrgYfyKroTHq3nEyD6XUYakE+TnZbP1kGnHnIhn68XLmj+4vdEgGw6gfRZEplCTHRZOTmWHMamsEGSl3CA0aQmLMVSau3FyjJAQji+jcxQsTExPiz0u/EyvCrWsXWeXviwkmBIXtYPpr3YQOyeAYVcSRnZrTqm0HKT1XgEtH9rHmneHYu3bAf1U4E7o7lX9TNcTo3yuT5ieWJub0MbLS75V57vB3oYR/PBWvN3wZuSiM4e1r7vehjb7RtUyh5Oj29WRnpGPVpOb+h30WNGo1PwUvxKK+FRNWbCrZYlhdWMCuL+YSdWAP/abOZenUmv81L6O3iE6du2Fialqrp4VpNRqO79iITqtl5MJQ0hL/JmLhDHQ6HQ8f3Gfd9DFcOXqAUZ+trhUSQhUvJ30SL73WDwc3d/pPm2fsqkVBetItVo57i/bPvczguV8Sf+E066aPwfO1t1FFnUSjVjN6yRomv9RR6FCNhiDftJV7etfqDot1S0eGzw/m4pFfOPhtMM5dvOgxaAynf4pAq9MRGLajVkkIAokoUyi5e1NFVtpdIaoXBS7dfOg/7WMObfia7z//D0e3r6dFGxcepCSRmhArdHhGRxARndy7YlqnTq3fLczrDV/s3dw58/NOPF59k6kbf8L9pd5smTuFkKPXhQ7PqAgi4jC3Jji4udfqYZyCvFw2z51MUuw17Nt15PpfR0i/c4uBsz7Dpo2cTf8JYrsqV+gwjYYgIkLtHk/MvJfCminDSLh4lgnLNjJx5RaatnRgw8yJFObnMmJRCG+99wmDZZZCh2o0BBNRrvDm3u0EMu+lCBWCINy5cY1VkwZSkJdLUNgOPnjTh2HtGjNycSiFebnsDV7ImC52zOzfQ+hQjYpgX25s4+5Jnbr1iIuKRNGrn1BhGJVrxw+zdf50WnfwYNj8lYzs1Lzk3DhPB/K+XE/9JlWza7/YEWQcsZhX+w2kuYMzA2YuFCoEo3F0+3r2hX6O1xu+9Js6Dz95faFDEhWCfstW5qHk/IE9QoZQ5WjUavYsn8/pnyLo4z+DlTP1/5RsTUaw34hQ1GFJT7pNRmqSkGFUGblZmWyYMZ6oA3sY/unXkoRPQVARW3dUUKdevRr5NdP0O7cIDRpM6s04/IPDmTesr9AhiRpBRRzq2pDWHRU17nVfwqWzrPL3pZ6ZRdG+M708hA5J9AgqIhTtKluTxhOjDuxh7bRROLl3ZVLwFsZ1LftrUhKlEVxEmUJJRsod0pNuCR1KpTmwbgURn36Az4CRDFsQzDC3JkKHVG0QtNcM4NihC3XNzFFFncK6ZfVsPQrz89n52Swu/7Gff3+wgM+DhgsdUrVD8BZxiIsVbTp5Vtv0nH0/jbXTRhJz6ihjv1wrSagngosIRem5OnZYUuJvsMrfl+z7aQSGRjDr7ReFDqnaIgoR5Z5KMu+mcO/2TaFDeWZiTh0lNHAwTVrYERi2g8CebkKHVK0RhYgObu7Us7CsNun55I/hbJg5kQ49XmXc0g3Vft8ZMSAKEf3kDXDq5IlK5OlZq9WyN3ghu5d9wqtj3mHHmuU1Yt8ZMSB4r7kYmaeSEzs3CR3GE8nPefho35m/aty+M2JAFC0igEzhXfLldrGRkZpEWNAQEqMvM2FFzdt3RgyIRkR7146YWTYgTmS/E29du8iqSQPRUbS67r0+XkKHVCMRjYh+8vo4d+kqqg7L5T9+Y807w2nVtgMBq7YyUeksdEg1FtGICEXzEysqolarLfV3jVptkFiObF7Nlo/ewev1gYxaXLP3nRED4hJRoeRhRjopz7Cu92FGOke3rWfBm91RnT9FQW4OGz/0Z/4bXmjUhXrHoFEXsmPxLA6sW86b785l07JPa9UiJqEQTa8ZoFXbDpg3sEIVdRJbJ5enXtugiTU9/caSmZbKyR/DcWzfmQEzF1GYm0OduvX0qj8nM4PNcyaTGHOVUYvDmDO4l17lSFQcUbWIg2WWOHfxIq4CE2Xbeb/A1aMHcenmg1UTa5q21O9zX3dvxRMSMIj7yYkEhGyTJDQyohIRiuYnxp8/xbOu6bJ1dkWjLsTUtI7edaqiIgkNGEz9ho0JDNvBlJc76V2WhH6ITkSZwpuczAySVdHPdP2144dp6eJG/MUzetV35pfvWffeWFy6+TBhxWbGKlrpVY5E5RCdiHbydlhaNXrqOhatRoO6sIC/r17AupUDMoU3CRdOk52RTmLMlWeqR6fT8evqL/l+yWxeHDqBIfOWMdS1oaEeQ6KCiE7Ewc4WOHt0f+oGTSd/DGfp8D4kxV7DpasPbs+9yJWjBzm9N4JWbTuUW0dBXi5bPprCsYgN+M5ewjcLZjDIydyQjyFRQQRdYP8kpn61lkPfBjNnbySmpv/8t1KYn09G6h1sHP87wHz3bxXNHZ0xMTF5atmZaal892EA95NuM/zTVczo52Pw+CUqjuhaRCjqsORmZ5IcW/bWbPXMzUtJCGDTWlauhEmx1wmZ5Et+zkMCw3ZIEooIUYpoK3OlfuOmBp21fe3EEcImD6GZgxOBoRH4+zx9nFLCuIhqQLuYQU7mbOnixaXff0Wn1ZKTmYG6sBAzCwtaOLXFqXNXmrRo+czlHYv4ll9CltC170Demj4PP3mDKoxeQh9EKSIULR/Yu2IhD1KTaGhtg2nduhTk5vBH+Fq0GjVN7RzwGTCc7v38MLMo+xWcRq1m74oFnNq7ndf8PyB4ZoCRn0LiWRGtiDKFNzqdlhELQ3Bwcy85XpCXy+3rl7h69CD71y7n982r6T3pPbxe9y11f152FuHz3iXh0lmGLQjm4+GvG/sRJCqAKHvNxXgoutFz8FheGDK+zPMPM9I5snk1x3dsoNvrvvSf+hF1zcxIT7rFxpmTyM3OYtRnYUztpTBy5BIVRdQi/ntMEHk52Yz5/JunXnf12CEiFs3A3rUj/zd6MuEfvUOjFnaMWrya8d2q56L92oYoe83FOCu6k3DxTLlzDDv0+D8mBW8hLfEm694bQ+tOCvyDwyUJqxGiFlGuUFKQm0Ni9OVyr73y5wEepCbjM2AEwz9dJe07U80QbWcFILCnG99Y26A6H0nrjmVv7aYuKGDnkg+5dGQfb7+/gC8mS1t+VEdE3SJC0TLTJ02AyM5IZ+20UUSf/IMxn6+VJKzGiF5EuUJJwuVz/5j+n5oQR8gkX7LSUgkI2c6HA14SKEIJQyB6EWUKbwrzcrl17WLJsRunjxMSOIhGNrYEhu0g6IX2AkYoYQhEL6K/jwuNbexKVvdF7tnGhpkTaO/zCuOXbmB0FzuBI5QwBKLurBQjUyiJPXuSnMwHHN+xgVfHvkPYR9OEDkvCgIi+RYQiERMunibyx3D85i2VJKyBVIsWUe7pjYNbJ14a5s+8YX2EDkeiChD1Kz6J2kO1SM0SNR9JRAlRIIkoIQokESVEgSSihCiQRJQQBZKIEqLg/wFRlixzgDO/vgAAAABJRU5ErkJggg==)
The angle formed using two legs of an isosceles triangle is called the ___________.
The angle formed using two legs of an isosceles triangle is called the ___________.
Find the type of the ∆ ABC if angles B and C are equal![](data:image/png;base64,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)
Since the three sides are equal therefore the three angles, opposite to the equal sides, are equal in measure. Therefore, it is also called an equiangular triangle, where each angle measure 60 degrees.
Find the type of the ∆ ABC if angles B and C are equal![](data:image/png;base64,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)
Since the three sides are equal therefore the three angles, opposite to the equal sides, are equal in measure. Therefore, it is also called an equiangular triangle, where each angle measure 60 degrees.