Supplementary angles. (Math)?
Two angles are supplementary. One is 60 degree more than three times the other. Find the measures of the angles. Supplementary angles are angles whose sum is 180 degree.
What is the measure of the smaller angle?
____ Degree
What is the measure of the larger angle?
____ Degree.
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Answers & Comments
Smaller angle=30°
Larger angle=150°
How to do it:
Let larger angle be y and smaller angle be x
Two equations can be found:
y=60+3x
and
x+y=180
Combine both equations to give:
x+60+3x=180 >> 4x=120 >> x=30° >>y=180-30=150°
60 degrees is smaller
120 degrees is larger