Question

in the given figure if PQ is perpendicular to PS PQ is parallel to SR angle sqr is equal to 28 degree and angle qrt is equal to 65 degree then find the values of X and y​

Answer 1

Answer:

y=53°,x=37°

Step-by-step explanation:

Angle QRS=180°-65°=115° [linear pair]

Angle QSR+Angle QRS+Angle SQR=180°

[SUM OF ANGLES IN A TRIANGLE=180]

Angle QSR=180-115-28=37

Angle PSR=Angle QPS=90 [CO-INTERIOR ANGLES]

THEREFORE, Y+Angle QSR=90

Y=90-37=53

y+Angle P+x=180°

x=180-90-53=37