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Maths-

General

Easy

Question

In the figure, if $Q T perpendicular P R comma straight angle T Q R equals 40 to the power of ring operator$ and $straight angle S P R equals 30 to the power of ring operator$ find x and y.

hint Hint:

We find the value of x by using the sum of angles in triangle QTR is 180°.

The correct answer is: Therefore values of x and y are 50° and 80° respectively

Find the y = ∠PSQ as the exterior angle and interior angles are ∠SPR (given) and x.
Ans:- x =50° and y = 80°
Explanation:-
Step 1:-Find value of x
In ΔQTR, ∠T + ∠TQR + x = 180° (sum of angles in triangles)
90°+40° + x =180 °
x = 180-130
∴x = 50°
Step 2:- Find value of y
We know that in a triangle, the exterior angle is always equal to the sum of the interior opposite angles.
∠PRQ +∠SPR = ∠PSQ
x + 30° = y (x = 50°)
y =50° +30°
∴y =80°
Therefore values of x and y are 50° and 80° respectively

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