Question

Find values of x and y in the given diagram

Answer 1

AB is || to CD (as seen in the diagram)

Therefore angle BPR= 65°= y

y= 65°

Angle PQC+ Angle PQR= 180°

80°+ Angle PQR= 180°

Angle PQR= 180°-80° = 100°

According to Angle sum property of a triangle ,

Angle PQR+ Angle PRQ+ Angle RPQ= 180°

100°+ 65° + Angle RPQ= 180°

165°+ Angle RPQ= 180°

Angle RPQ= 180°-165°= 15°

Angle RPQ= x= 15°

HOPE IT HELPS! ^_^