Supplements?

[EyesThatSparkle02]

the measure of an angle is 24 more than the measure of its supplement. find the measures of both angles.

i don't understand how to figure this out. please help!

 

[mmm4444bot]

the measure of an angle is 24 degrees more than the measure of its supplement. find the measures of both angles.

I hope that you understand the following.

The sum of an angle and its supplement is 180 degrees.

In other words, if x is some angle whose measure is less than 180 degrees, then we can always find the supplementary angle by subtracting x from 180 degrees.

So, let x represent the measure of the angle in this exercise.

Then, the supplementary angle has measure 180 - x.

We're told that x is a larger angle than its supplement; we're also told that their difference is 24 degrees.

So, write an equation.

In other words, subtract the supplementary angle (180 - x) from the angle (x), and set that expression equal to 24.

Solve for x.

Once you know the measure of angle x, it's obvious how to calculate the measure of the supplementary angle.

Let us know, if you want more help. Please show any work you can, and explain why you're stuck.