1.

In Fig. 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 = \(\frac{180° }{5}\) 

= 36° 

∵∠P =∠Q 

∵ PS = RQ 

= 2x = y 

= 2 × 36 = y 

= y = 72°



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