SOLUTION: I need help with my geometry word problems. The problem is: The measure of an angle is 58 degrees more than its supplement. Find the measure of the supplement. This question

Algebra ->  Angles -> SOLUTION: I need help with my geometry word problems. The problem is: The measure of an angle is 58 degrees more than its supplement. Find the measure of the supplement. This question       Log On


   

Question 167076: I need help with my geometry word problems. The problem is:
The measure of an angle is 58 degrees more than its supplement. Find the measure of the supplement.
This question puzzles me please help! I need to show work and I won't be able to understand the answer unless I see work to solve other equations thanks.
Found 2 solutions by Mathtut, Earlsdon:
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
2 angles make up a supplementary angles. Lets call them A and B,and the total of A and B has to total 180 degrees(definition of supplementary angles).
so A+B=180
we also know that one angle(makes no difference which one in this case) is 58 degrees more than the other so
A=B+58 substitute this A value back into the 1st equation
(B+58)+B=180
2B=180-58
2B=122
highlight%28B=61%29
A=61+58=highlight%28119%29

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Let the angle whose supplement you are trying to find = A
The supplement of angle A is (180-A) and 58 degrees more than that is:
(180-A)+58.
Now you have enough to write an equation that will let you find the angle A.
A = (180-A)+58 Simplify this to:
A = 180+58-A Add A to both sides.
2A = 238 Divide both sides by 2.
A = 119 degrees. But you are asked to find the supplement of A.
180-A = 180-119 = 61 degrees.
Check:
A = (180-A)+58 Substitute A = 119.
119 = (180-119)+58
119 = 61+58
119 = 119 It checks!