Question

two adjacent angles of a paralleligram are in the ratio of 2:7 find all the angles of parallelogram

Answer 1

Let the two given angles be 2x and 7x
Therefore, 2x+7x =180°(adjacent angles)
9x=180°
Therefore x=180÷9=20
Therefore the two angles are 40° and 140°
Therefore the other angle adjacent to the angles having 40° and 140° will be 140°and 40° respectively

Answer 2

Sum of adjacent angles in a parellelogram is 180.
So , 2x+7x=180
9x=180
x=20
So 2x=2×20=40
7x=7×20=140
Opposite angles in a parellelogram are equal....
So,the angles of the parellelogram are 40,140,40,140........
Hope it helps you.........