Maths-

General

Easy

Question

# In the figure,then find the value of x and y.

Hint:

**Hint :-**Find the ∠QSR as the exterior angle is ∠QRT is given

We get angle x = ∠QSR they both are alternate interior angles

We find the value of y by using the sum of angles in triangle PSQ is 180 °.

Ans :- x =37° and y = 53°

## The correct answer is: x =37° and y = 53°

### Explanation :-

Step 1:-Find ∠QSR

We know that in a triangle, the exterior angle is always equal to the sum of the interior opposite angles.

∠QSR +∠SQR = ∠QRT

∠QSR +28° = 65°

∠QSR = 65° -28° = 37°

Step 2:- Find value of x

PQ || SR and QS intersects both the lines

We get angle x = ∠QSR ( alternate interior angles)

x =37°

Step 3:- Find value of y

In PSQ, ∠P + x + y = 180 °(sum of angles in triangles)

90°+37° +y =180 °

y = 180-127

y = 53 °

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