SOLUTION: If P is the measure of an angle, 180 - p is the measure of the supplemen of the angle. If the measure of an angle equals three times the measure of its supplement, what is the meas

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Question 61401This question is from textbook An Incremental Development
: If P is the measure of an angle, 180 - p is the measure of the supplemen of the angle. If the measure of an angle equals three times the measure of its supplement, what is the measure of the angle? This question is from textbook An Incremental Development

Answer by funmath(2933) About Me  (Show Source):
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If P is the measure of an angle, 180 - p is the measure of the supplemen of the angle. If the measure of an angle equals three times the measure of its supplement, what is the measure of the angle?
Let the supplement be: x
Then the angle is: 3x
Total when added: 180
x+3x=180
4x=180
4x/4=180/4
x=45
The supplement is: x=45 degrees
The angle is: 3x=3(45)=135 degrees.
:
Sanity Check: If you add these two angles together, do you get 180?
45+135=180?
180=180!!! Looks Valid.
Happy Calculating!!!