The measure of one of two supplementary angles is three times the measure of the other angles. What are the measures of the angles?
+23246 Supplementary angles are two angles whose sum is 180o.
If one angle is xo, the other angle will be (180 - x)o.
One angle is three times the measure of the other (supplementary) angle: x = 3(180 - x)
Solve: x = 540 - 3x
4x = 540
x = 135
This makes the other angle: 180 - x= 180 - 135 = 45.
The two angles measure 45o abd 135o.
