Question

Two supplementry angles are in the ratio of 5:7 . find the measure of the angles

Answer 1

Let the common factor be x.
So,the angles are 5x and 7x.
supplementary angles=180 degrees
5x+7x=180
x=180/12
x=15 degree
5x=5*15=75 degrees
7x=7*15=105 degrees

The angles are 75 degrees and 105 degrees

Answer 2

Given:

Two supplementary angles are in the ratio of 5:7.

To find:

The measure of the angles.

Solution:

The measure of the angles is 75° and 105°.

To find the answer, we will follow these steps:

First of all, we should know that two angles, angle A and angle B are called supplementary angles if their sum is equal to 180°.

This means,

angle A + angle B = 180°

Now,

as given

Two supplementary angles are in the ratio of 5:7.

Let the common ratio between both angles be x.

So,

The two angles are 5x and 7x.

Now,

$5x + 7x = 180°$

On solving the above, we get,

$12x = 180$

$x = 15$

So,

the two angels are

5x = 5(15) = 75°

7x = 7(15) = 105°

Hence, the two supplementary angles are 75° and 105°.