Question

give AB || CD angle APQ = 40° and angle PRD = 120 ° find x​

Answer 1

Answer:

80°

Step-by-step explanation:

angle APR = angle DRP ( property of triangle between the two parallels)

40° + x = 120° => x = 80°

Answer 2

Step-by-step explanation:

In the given figure,

AB || CD

Angle APQ = 40°

Angle PRD = 120°

As AB||CD and PR as transversal

So, Angle BPR+ Angle PRD = 180°( co-interior angles are supplementary)

Angle BPR + 120°= 180°

Angle BPR= 180°-120°

Angle BPR= 60°

By condition,

Angle APQ + x + Angle BPR= 180°(AB is a straight angle)

40°+x+60°= 180°

x+ 100°= 180°

x= 180°-100°

x= 80°

Therefore x= 80°

HOPE IT HELPS YOU