Question

Two supplementary angles are in the ratio of 31:5 find angles​

Answer 1

The angles are 155° and 25°.

Explanation:

Given:

Two supplementary angles are in the ratio of 31:5.

Now, to find the angles.

The sum of two supplementary angles = 180°

Let the ratio of the angles be
`31x\ and\ 5x`.

So, according to question:

`31x+5x=180\°`

`36x=180\°`

Dividing both sides by 36 we get:

`x=5`

So,
`31x=31* 5=155\°.`

And,
`5x=5* 5=25\°.`

Therefore, the angles are 155° and 25°.