Maths-

General

Easy

Question

# In and . Hence find the measure of each angle

Hint:

### Find ∠B by using the given equations and sum of angles in triangle .

We get value of ∠B ,substitute in the given equations to get the value of other angles

## The correct answer is: ∠ A = 45° ∠ B = 25° ∠ C = 110°

### Step 1:- Find ∠B

Given , ∠A + ∠B = 70° ; ∠B + ∠C =135°

Adding both equations give ∠A + 2 ∠B + ∠C = 70° + 135° = 205° —-Eq1

But in ABC ,∠ A + ∠B + ∠C =180°—-Eq2

Eq2-Eq1 we get ∠ B = (205-180)°= 25°

∠B= 25°

Step 2:- Find ∠A and ∠C

Substitute the value of angle B in the given equations

∠A +∠ B = 70° ∠A + 25° = 70° ∠A = 70°-25° ∠A = 45°

∠B + ∠C = 135°∠C + 25° = 135° ∠C = 135°-25° ∠C = 110°

Step 2:- Find ∠A and ∠C

Substitute the value of angle B in the given equations

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