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BD is the diagonal of parallelogram ABCD such that ∠CBD = 12x, ∠ABD = 7y, ∠ADB = 60° and ∠CDB = 28°. Then, the value of 2x+3y is:
Question

BD is the diagonal of parallelogram ABCD such that ∠CBD = 12x, ∠ABD = 7y, ∠ADB = 60° and ∠CDB = 28°. Then, the value of 2x+3y is:

A.

21°

B.

22°

C.

23°

D.

20°

Correct option is B

Given ∠CBD = 12x, ∠ABD = 7y, ∠ADB = 60° and ∠CDB = 28°.
Where ∠CBD = ∠ADB (opposite angle)
12x= 60°
X = 5°
And ∠ABD = ∠CDB (opposite angle)
7y=28°
y= 4°
2x+3y = 2×5+3×4=22°

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