Mathematics

# Find the angle which is five times its supplement.

##### SOLUTION
Consider the required angle as ${x}^{o}$

We know that the complement can be written as ${180}^{o}-{x}^{o}$

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

We get

${x}^{o}=5[{180}^{o}-{x}^{o}]$

We can also write it as

$x=900-5x$

so we get

$6x=900$

By division we get

$x=\dfrac{900}{2}$

${x}^{o}={150}^{o}$

Therefore the measure of an angle which is five times than its supplement is ${150}^{o}$

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Subjective Medium Published on 09th 09, 2020
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