SOLUTION: The negative difference between the measures of supplementary angles is -45. Find the measures of the larger angle.

Question 1060426: The negative difference between the measures of supplementary angles is -45. Find the measures of the larger angle.
Found 2 solutions by annemsujan, MathTherapy:
Answer by annemsujan(3) (Show Source): You can put this solution on YOUR website!
Given,
eq1: x+y = 180 (supplementary angles)
eq2: x-y= -45
Solving eq1 - eq2, you can evaluate value of y (larger angle)
x+y - (x-y) = 180 - (-45)
2y = 225
y = 112.5
Answer by MathTherapy(10557) (Show Source): You can put this solution on YOUR website!

The negative difference between the measures of supplementary angles is -45. Find the measures of the larger angle.

Let larger angle be L
Then smaller = 180 - L
180 - L - L = - 45 ----- Negative difference is: - 45
- 2L = - 45 - 180
- 2L = - 225
L, or larger angle =
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