Question

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

Answer 1

Answer:

The angles are 155° and 25°.

Step-by-step 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, $31x=31\times 5=155\°.$

And, $5x=5\times 5=25\°.$

Therefore, the angles are 155° and 25°.