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Question

Two adjacent angles of a parallelogram are (3x − 4)° and (3x + 10)°. Find the angles of the parallelogram.

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Solution

We know that the adjacent angles of a parallelogram are supplementry.Hence, 3x+10° and 3x-4° are supplementry.3x+10°+3x-4°=180°6x°+6°=180°6x°=174°x=29°First angle = 3x+10°=3×29°+10°=97°Second angle = 3x-4°=83°Thus, the angles of the parallelogram are 97°, 83°, 97° and 83°.

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