If an angle of a parallelogram is two-thirds of its adjacent angle, find the angles of the parallelogram.
Rectilinear Figures
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Question

If an angle of a parallelogram is two-thirds of its adjacent angle, find the angles of the parallelogram.

KnowledgeBoat · Accepted Answer

Let a parallelogram be ABCD. Let ∠A = x and so adjacent angle (∠B) = As AD || BC, sum of co-int ∠s = 180°, Opposite angles of a parallelogram are equal. ∴ ∠C = ∠A = 108° and ∠D = ∠B = 72° Hence, angles of parallelogram are 108°, 72°, 108° and 72°.

Mathematics

If an angle of a parallelogram is two-thirds of its adjacent angle, find the angles of the parallelogram.

Rectilinear Figures

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