Question

V48 727
DABCD is a parallelogram. The ratio of ZA and B of this parallelogram is 5:4
Find the measure of ZB​

Answer 1

Answer:

Let the common multiple of the given ratio then

∴∠A=5x° and∠B=4x∘

□ ABCD is a parallelogram.

∴∠A+∠B=180° [Adjacent angle of parallelogram are supplementary]

∴5x+4x=180°

⇒9x=180

⇒x=180/9

⇒x=20∘

∠B=4x=4×20=80∘

The measure of ∠B is 80°

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