Question

two angles are supplementary.if one of them is one third of the other, find the angles.

Answer 1

Let the first angle be a

Second angle = 180 - a

According to question,

a = (180 - a) /3

=> 3a = 180 - a

=> 4a = 180

=> a = 45

First angle = 45°

Second angle = 135°

Answer 2

Heya!!

Answer : 45° and 135°

Explanation :

What are supplementary angles?
- Supplementary angles are a pair of two angles whose sum add to 180°.

Let one angle be x. (I)

Then the other angle = 180°-x. (II)

Given,

(II) is one third of (I)

i.e

$\frac{1}{3} x = 180 - x$

Now solving for x

$\frac{4}{3} x = 180$
$x = \frac{180 \times 3}{4}$

$x = 45 \times 3$

$x = 135$

So, the angles are 135° and 45°

Hope it helps you.