The measure of an angle is three times the measure of its supplementary angle. What is the measure of each angle?
1 answer:
Answer:
Angle = 135°
Supplement of the Angle = 45°
Step-by-step explanation:
The complement of an angle, say "x", would be 90 minus that angle:
90 - x
The supplement of an angle, say "y", would be 180 minus that angle:
180 - y
Since we have 1 angle, let it be "x", and that angle is 3 TIMES the SUPPLEMENT of that angle, we can write:
x = 3(180 - x)
Now, we solve for the angle x:
So, the angle is 135°
The supplement of the angle is 180 - 135 = 45°
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