Question

An angle of a parallelogram is one-third of its adjacent angle. What are the measures of

the angles of the parallelogram?

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Answer 1

Step-by-step explanation:

In a parallelogram ABCD,

Let ∠A be x and ∠B be 2x / 3

∴ ∠A + ∠B = 180°

$⇒ x + 2x / 3 = 180°$

$⇒ 5x / 3 = 180°$

$⇒ x° = 180° × 3 / 5 = 108°$

$∠A = 108° , ∠B = 2 / 3 × 108° = 72</p><p>$