1.

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

Answer»

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°.



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