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Question
In the given figure, PQRS is an isosceles trapezium. Find x and y.
Sum
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Solution
Given,
PQRS is an isosceles trapezium
PS = RQ (Given)
= ∠P + ∠S = 180°
(Sum of adjacent angles are supplementary)
= 2x + 3x = 180°
= 5x = 180°
= x = `180^@/5`
= 36°
∵ ∠P = ∠Q
∵ PS = RQ
= 2x = y
= 2 × 36 = y
= y = 72°
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