Question

Find the angle whose supplement is six times its complement?
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Answer 1

Answer:

6x

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Answer 2

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Let the angle be x

Complement angle : A pair of angles whose sum is 90°

So, complement of x = 90-x

Supplement angle = A pair of angles whose sum is 180°

So, Supplement of x = 180-x

Now we are given that supplement of x is six times its complement

So,

ATQ,

180-x=6(90-x)

180-x=540-6x

6x-x=540-180

5x=360

x=72

Thus the angle whose supplement is six times its complement is 72°

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