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

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We know that sum of the adjacent angles of a parallelogram = 180°

(3x - 4)° + (3x + 10)° = 180°

3x°- 4° + 3x° + 10° = 180°

6x° = 180°- 6°

x = \(\frac{174°}{6}\) = 29°

Measure of one angle: 3x - 4 = 3 × 29°- 4 = 83°

Measure of other angle = (3x + 10)°= 3 × 29 + 10 = 97°

Therefore angles of the parallelogram are 83° 83°, 97° and 97°

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