Question

5. In Fig. 6.32, if AB || CD, Z APQ = 50° and PRD = 127°, find x and y.​

Answer 1

Answer:

/_ PRQ = /_ APQ ( Alternate angle)

x = 50°

/_ PRQ + /_ PRD = 180°

/_ PRQ + 127° = 180°

/_ PRQ = 180°-127° = 53°

/_ PQR + QPR + PRQ = 180°

(angle sum property of triangle)

x+y+53° = 180°

50° + y + 53° = 180°

y = 180° - 103° = 77°

hope it helps u...☺☺