Question

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

Answer 1

Answer:

15

Step-by-step explanation:

x=1/5 (90-x)

5x+x=90

6x=90

dividing both sides by 6

6x/6=90/6

x=15

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°.

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