Question

PLZ HELP ASAP

Two angles are supplementary. the measure of one is 3.5 times the measure of the other angle. find both angles.

Answer 1

Therefore the two supplementary angles are 40° and 140°.

Explanation:

Given:

Let the measure of one angle of supplementary be 'x'

Then according to the given condition the other angle will be '3.5x'

To Find:

x = ?

3.5x = ?

Solution:

Supplementary angles:

Supplementary angles are those angles whose sum is 180°

We have two angles 'x' and '3.5x'

∴
`x+3.5x=180\\\\4.5x=180\\\\x=(180)/(4.5) \\\\\therefore x =40\°`

one angle is 40°

Another angle will be

`3.5x= 3.5*40\\\\3.5x=140\°`

Therefore the two supplementary angles are 40° and 140°.