Question

if two adjacent angle of a parallelogram are in the 4 : 5 find the measure of all angles of the parallelogram

Answer 1

Adjacent angles of a parallelogram are supplementary.

=> Sum of adjacent angles = 180°

Let the ration of the adjacent angles be 4 x : 5 x

4 x + 5 x = 180°

9 x = 180°

=> x = 180° / 9

=> x = 20°

Hence the measure of angles are ( 4 * 20° ) and ( 5 * 20° ). Which are 80° and 100°

Hence the measure of angles are 100° and 80°.

Answer 2

hello here is your answer by Sujeet yaduvanshi ☝