Q. 155.0( 2 Votes )

# In Fig. 14.111, PQRS is an isosceles trapezium. Find x and y.

Answer :

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°

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