the measure of an angle is 8 degrees less than 3 times the measure of the angle's supplement. find the measure of each angle

Let x = one angle, then 3x - 8 = other angle and they add to 180º. Solve for x.

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Find the measure of an angle that is 8 degrees less than 3 times its supplement.

To find the measure of each angle, let's start by defining the unknown angle as "x".

We know that the measure of an angle and its supplement add up to give 180 degrees since they are a linear pair.

So, x + (180 - x) = 180

Now, let's use the given information: "the measure of an angle is 8 degrees less than 3 times the measure of the angle's supplement."

This can be written as: x = 3(180 - x) - 8

Now, let's solve the equation step by step to find the value of x.

First, distribute 3 to (180 - x):

x = 540 - 3x - 8

Next, combine like terms:

x + 3x = 540 - 8

4x = 532

Now, divide both sides by 4 to isolate x:

x = 532/4

x = 133

Therefore, the measure of the angle is 133 degrees.

To find the measure of the angle's supplement, substitute the value of x into the equation for the supplement:

180 - x = 180 - 133 = 47

So, the measure of the angle's supplement is 47 degrees.

Therefore, the measure of each angle is 133 degrees and 47 degrees.