Use an algebraic equation to find the measures of the two angles described below. Begin by letting x represent the degree measur
e of the angle's supplement.
The measure of the angle is thirty dash five times greater than its supplement.
What is the measure of the supplement?
1 answer:
Answer:
Step-by-step explanation:
For two angles x and y to be supplementary, the sum of the angles must be 180°
x+y = 180
x = 180-y... 1
If the measure of the angle is five times greater than its supplement this is expressed as:
x = 5y…. 2
Substitute equation 2 into 1
5y = 180-y
5y+y = 180
6y = 180
y = 30°
Hence the measure of the supplement is x = 5y
x = 5(30)
x = 150°
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