Question

an angle is onefifth of its supplement find its measure and its supplement​

Answer 1

Let the smaller angle be x.

Then it's supplement will be 5x.

Sum of supplementary angles= 180 degrees

x+5x= 180

6x= 180

x = 30 degree.

The given angle = 5 x 30= 150 degree

And its supplement is 30 degrees

Answer 2

Let the unknown angle be x.

then its supplement will be (180 — x)°.

A/Q :-

$x = (\frac{1}{5})(180 - x) \\ \\ \\ x = \frac{180 - x}{5} \\ \\ 5x = 180 - x \\ 6x = 180 \\ x = 30$

$<b>Hence, the Unknown Angle was 30° and its supplement was 150° </b>$