The measure of an angle's supplement is 44 less than the measure of the angle. Find the measure of the angle and it's supplement.

To find the measure of the angle and its supplement, let's consider the given information.

Let's assume the measure of the angle is x degrees.

According to the problem, the measure of the angle's supplement is 44 less than the measure of the angle.

The supplement of an angle is the angle that, when added to the given angle, results in a sum of 180 degrees.

So, the measure of the angle's supplement can be calculated as follows:
Supplement of the angle = 180 - x

According to the problem, this supplement is 44 less than the measure of the angle.

So, we can write the equation as follows:
180 - x = x - 44

Now, let's solve this equation to find the value of x:

180 - x = x - 44

Adding x to both sides:
180 - x + x = x - 44 + x
180 = 2x - 44

Adding 44 to both sides:
180 + 44 = 2x - 44 + 44
224 = 2x

Dividing both sides by 2:
224/2 = 2x/2
112 = x

Therefore, the measure of the angle is 112 degrees.

To find the measure of its supplement, substitute the value of x in the supplement equation:

Supplement of the angle = 180 - x
Supplement of the angle = 180 - 112
Supplement of the angle = 68

Therefore, the measure of the angle's supplement is 68 degrees.

So, the measure of the angle is 112 degrees, and its supplement is 68 degrees.