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In a parallelogram ABCD, if ∠A = (3x - 20)°,∠B = (y + 15)° and ∠C = (x + 40)°, then find the values of x and y.

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Best answer

Given, 

In parallelogram ABCD 

Opposite Angles are equal.

∴ ∠A = ∠C 

⇒ 3x-20 = x + 40 

⇒ 2x = 60 

⇒ x = 30 

Consecutive angles are supplementary (A + B = 180°).

⇒ 3x – 20 + y + 15 = 180

⇒ 3x + y = 185

⇒ 3 × 30 + y = 185

⇒ y = 185 – 90 = 95

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