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The supplement of an angle is three times the measurement of the original angle. Find the measure of both angles.

1. Write the original equation that will help solve the problem.

2. What is the value of the first angle?

A. 15
B. 30
C. 45
D. 90
E. 125
F. 180

3. What is the value of the second angle?

A. 30
B. 40
C. 60
D. 90
E. 120
F. 135
G. 145
H. 160
I. 180

Answer :

9514 1404 393

Answer:

  • x +3x = 180
  • x = 45 . . . . . . . choice C
  • 3x = 135 . . . . . choice F

Step-by-step explanation:

Let x represent the measure of the original angle in degrees. Three times its measure is 3x. That will be the supplement if the sum of the two angles is 180°.

x + 3x = 180 . . . . . . . . . equation for finding the angle

x = 180/4 = 45 . . . . . . divide both sides by 4

3x = 3(45) = 135

The first angle is 45°. The second angle is 135°.

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