Q. 4 A3.9( 50 Votes )

ABCD is a parallelogram. The ratio of A and B of this parallelogram is 5 : 4. Find the measure of B.

Answer :

Given: A : B = 5:4

Let the measure of A = 5x


Then B = 4x


Since the adjacent angles of a parallelogram are complementary, therefore A + B = 180°


5x + 4x = 180°


9x = 180°


x = 20°


A = 5x = 5 × 20° = 100°


B = 4x = 4 × 20° = 80°


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