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Question

Find the angle which is five times its supplement.

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Solution

Consider the required angle as xo

We know that the complement can be written as 180oxo

To find the measure of an angle is equal to its complement

We get

xo=5[180oxo]

We can also write it as

x=9005x

so we get

6x=900

By division we get

x=9002

xo=150o

Therefore the measure of an angle which is five times than its supplement is 150o

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