SOLUTION: two angles with measures (5x+7) and (15x-7) are supplementary. what is the value of x?

Algebra ->  Angles -> SOLUTION: two angles with measures (5x+7) and (15x-7) are supplementary. what is the value of x?      Log On


   



Question 526670: two angles with measures (5x+7) and (15x-7) are supplementary. what is the value of x?
Found 2 solutions by oberobic, stanbon:
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
(5x +7) + (15x -7) = 180 degrees because we are told they are supplementary.
.
20x = 180
.
x = 9
.
5x + 7 = 45+7 = 52
.
15x -7 = 135-7 = 128
.
52 + 128 = 180
.
Correct.
.
Answer: The value of 'x' is 9.
.
Done.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
two angles with measures (5x+7) and (15x-7) are supplementary. what is the value of x?
-----
Equation:
15x-7 + 5x+7 = 180
20x = 180
x = 9
---
5x+7 = 5*9+7 = 52 degrees
---
15x-7 = 15*9-7 = 135-7 = 128 degrees
====================
Cheers,
Stan H.
=========