Question

How many degrees are there in an angle which is one fifth of its supplementary angle?

Answer 1

Let the angle be x
Therefore,its supplementary angle would be (180-x)
A.T.Q,
x=1/5 (180-x)
6x=180
x=180/6
x=30

Answer 2

There are $\bold{30^{\circ}}$  in an angle of one fifth of the supplementary angle.

Explanation:

Supplementary angle is defined as any one of the angle whose sum is $180^{\circ}$

Supplementary angle decides the angle to always be $180^{\circ}$  and the complementary angle is always $90^{\circ}$  (i.e., right angle).The word supplement itself expresses that something extra is added to it so that it looks extra larger.

Solution:

Let the angle be a. Let the supplementary angle be 180 – a.

$\begin{array}{l}{a=\frac{1}{5}(180-a)} \\ {5 a=180-a} \\ {6 a=180} \\ {a=\frac{180}{6}} \\ {a=30^{\circ}}\end{array}$