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in Quadrilaterals by (26.9k points)
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In Fig. ABCD is a trapezium. Find the values of x and y.

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Best answer

Given, 

ABCD is a trapezium 

= ∠A+∠D = 180° 

= 2x + 10°+ x + 20° = 180° 

= 3x + 30° = 180°

= x = \(\frac{180°}{3}\) = 50°

∠B+∠C = 180°

= y + 92° = 180°

= y = 180°- 92° = 88°

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