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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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°.
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