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°


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