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