Question

Two adjacent angles of a parallelogram are in the ratio 2:3. Find the measure of all four angles of a parallelogram​

Answer 1

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Two adjacent angles of a parallelogram are in the ratio 2:3. Find the measure of all four angles of a parallelogram

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MEASURE OF ALL FOUR ANGLES OF A PARALLELOGRAM

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Let the two angles be 2x, 3x

2x + 3x = 180°

$note - adjacent \: angles \: are \: \\ supplementary$

5x = 180°

x = 36°

2x = 72°, 3x = 108°

HENCE,The four angles are 72°, 108°, 72°and108°

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