Q133 of 160 Page 144

Two adjacent angles of a parallelogram are in the ratio 1:3. Find its angles.

Given, ratio of the adjacent angles of a parallelogram is 1:3

⇒ By the property of parallelogram, the sum of adjacent angles of a parallelogram is 180°.


⇒ Let the adjacent angles are ∠A and ∠B.


∠A = x


∠B = 3x


∠A + ∠B = x + 3x {∠A + ∠B = 180


4x = 180 ̇


x = 45


⇒ ∠A = 45


⇒∠B = 45×3 = 135


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