# Two adjacent angles of a parallelogram are the ration 2:3. Find the measure of each of its angles. A = 72°, B = 108°, C = 72°, D = 108°

Let x be the common multiple.

As per question, A = 2x B = 3x C = 2x D = 3x A + B = 180° (Adjacent angles of parallelogram is supplementary)

2x + 3x = 180°

5x = 18

X = 180 / 5 = 36° A = 2 × 36° = 72° B = 3 × 36° = 108° C = 2 × 36° = 72° D = 3 × 36° = 108°

So, Angles of quadrilateral are 72°, 108°, 72° and 108°.

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