Question

how many degree are there in an angle which is equals one ​fifth of its supplement

Answer 1

Answer:

Hey mate, Here's ur answer

Step-by-step explanation:

Supplementary angles = add up to 180°

Let the angle be X

And the supplement be S

Then, X+ S=180°

Here, given

X= 1/5 S

S+1/5S=180°

6/5 S=180°

S= 150°

X=180°-150°=30°

Hope it helps.... Good night

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°.