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

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 =


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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