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Supplementary Angles

If ∠ A =2 x a...

Question

If ∠A = 2x and ∠B = 4x such that ∠A and ∠B are supplementary, then the value of x is:

A

60^o

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B

90^o

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C

180^o

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D

30^o

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Solution

The correct option is D
30^o

Since, angles A and B are supplementary, we have

∠A + ∠B = 180^o

i.e. 2x + 4x = 180^o

Or, 6x = 180^o

Or, x = 30^o

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Q. If A and B are acute angles such that sin A = cos B, then (A + B) = ?
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