Question

find the measure of an angle which is four times its supplement ​

Answer 1

Given:

The measure of an angle which is four times its supplement

To find:

The measure of the angle

Solution:

The sum of supplementary angles is 180°.

So, let the measure of one angle be $x$.

The angle required to find is 4times of this angle. So the measure of this angle will be $4x$.

Since they are supplementary, therefore their sum will be 180°.

So, we can write,

$x+4x=180$°

⇒$5x=180$°

⇒$x=36$°

Hence the angles are:

$x=36$°

$4x$=4×36°=144°

Hence, the required measure of the angle is 144°.

Answer 2

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