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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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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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