Question

ABCD is a parallelogram and ratio of <A:<B is 2:3.find all angles​

Answer 1

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Let the common multiple of the given ratio then

∴∠A=2x∘

and∠B=3x∘

ABCD is a parallelogram.

∴∠A+∠B=180∘

[Adjacent angle of parallelogram are supplementary]

∴2x+3x=180∘

⇒5x=180∘

⇒x=180/5

⇒x=36∘

∠B=3x=3×36

=108°

The measure of ∠B is 108°

∘The measure of ∠A is 180-108=72°

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