In Fig. 14.111, PQRS is an isosceles trapezium. Find x and y.
Given,
PQRS is an isosceles trapezium
PS = RQ ( Given)
= ∠P+∠S = 180° (sum of adjacent angles are supplementary)
= 2x + 3x = 180°
= 5x = 180°
= x =
∵∠P =∠Q ∵ PS=RQ
= 2x = y
= 2×36 = y
= y = 72°