Question

Given - Angle S Q R =28°
- Angle Q R T = 65°
- Angle S P Q = 90°
To find value of Angle x and y​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

The value of x is 37 and the value of y is 53.

Step-by-step explanation:

Here : angle QRT= 65 and SRT is a straight line and QR is a line which make two angles. Angle QRT and QRS. We know that the sum of two angles on a straight line is 180. So angle QRT + angle QRS = 180. So 65+QRS= 180. On solving this we get the value of angle QRS = 115. Here SQR = 28. Now the sum of triangle SQR = 180. So Angles QRS+ QSR+ AQR = 180. Now 115+28 +QSR = 180. On solving we get the value of QRS= 37. Here SR and PQ is a parallel line and QS is a transversal line so the value of 'x' = angle QSR = 37. Now in triangle PSQ. We have the value of angle SPQ= 90 and angle PQS( x) = 37. Again the sum of triangle PSQ is 180. Angle PSQ+SPQ+QSP = 180. So 37 +90 +PSQ(y) = 180. Now on solving we get the value of y(PSQ) = 53