Question

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

Answer 1

180 is the degree which is one fifth of it's supplement

Answer 2

Step-by-step explanation:

Let the measure of the angle be r.

∴ The measure of its supplement angle is (180° - r).

Using the given information, we get

$\bf \: r = \frac{1}{5} (180 \degree - r)$

→ 5r = 180° - r

→ 5r + r = 180°

∴ 6r = 180°

→ r = 180° ÷ 6

→ r = 30°

Hence, the measure of the required angle is 30°.