Question

if two supplementary angle are in the ratio 4 :5 then what are the measures of the angels

Answer 1

4x+5x=90
9x=90
x=90/9
x=10
4x=40
5x=50
hence the angles are 40 degree and 50 degree respectively.
Hope this may help you
Thank you

Answer 2

Given:

The ratio of two supplementary angles=4:5

To find:

The measure of angles

Solution:

The measure of the angles is 80° and 100°.

We can find the measure of angles by following the given process-

We know that when two angles are supplementary, their sum is equal to 180°.

The ratio of measures of two supplementary angles=4:5

Let the two angles be 4x and 5x.

These angles are supplementary, so the sum of the two angles=180°

On putting the values, we get

4x+5x=180°

9x=180°

x=180/9

x=20°

Now we can use the value of x to determine the measures of angles.

4x=4×20=80°

5x=5×20=100°

Therefore, the measure of the angles is 80° and 100°.