The measure of two adjacent angles of a parallelogram is in the ratio 2 : 3

Dhanalakshmi · July 4, 2019, 11:33am

The measure of two adjacent angles of a parallelogram is in the ratio 2 : 3. Find the measure of each of the angle of the parallelogram.

Dhanalakshmi · July 4, 2019, 11:34am

Let the adjacent angles of the parallelogram be 2x and 3x.
We know that sum of adjacent angles of a parallelogram is 180^o.
⇒ 2x + 3x = 180^o
⇒ 5x = 180^o
⇒ x = 36^o
Therefore, adjacent angles are 2 × 36^o = 72^o and 3 × 36^o= 108^o
We know that the opposite angles of a parallelogram are equal.
Thus, the angles of the parallelogram are 72^o, 108^o, 72^o, 108^o.