An angle of a parallelogram is one-third of its adjacent angle. What a – InterviewSolution

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

Answer»

Step-by-step explanation:

In a PARALLELOGRAM ABCD,

LET ∠A be X and ∠B be 2x / 3

∴ ∠A + ∠B = 180°

$⇒ x + 2x / 3 = 180°$

$⇒ 5x / 3 = 180°$

$⇒ x° = 180° × 3 / 5 = 108°$

$∠A = 108° , ∠B = 2 / 3 × 108° = 72$

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