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Two angles are supplementary if their sum is 180 degrees. One angle measures three times the measure of a smaller angle. If X represents the measure of the smaller. Angle and these two angles are supplementary, find the measure of each angle.

Respuesta :

So 3 times the measure of a small angle

3x + x= 180

4x = 180
X= 45

3(45) + 4(45) = 180

Hope this helps!

The value of larger and smaller angles are 135 and 45 degrees respectively.

Supplementary angle :

Two angles are supplementary if their sum is 180 degrees.

Since, given that One angle measures three times the measure of a smaller angle.

Let us consider that one angle is 3x and other is x.

                   [tex]3x+x=180\\\\4x=180\\\\x=180/4=45[/tex]

Larger angle is, [tex]3x=3*45=135[/tex]

Smaller angle is, [tex]x=45[/tex]

Learn more about the Supplementary angle here:

https://brainly.com/question/12919120

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