Question 763779
Half the supplement of an angle is 45 degrees less than three times the complement of the angle. Set up and solve an equation to find the measure of the angle, the complement, and the supplement. Please clearly indicate the measure of each of the requested angles.
---
Let the angle be "x".
The supplement is "180-x"
The complement is "90-x"
----------
Equation:
(1/2)(180-x) = 3(90-x)-45
Multiply tr by 2 to get:
180-x = 6(90-x) - 90
180-x = 540 - 6x - 90
180+5x = 450
5x = 270
x = 54 degrees
----------
180-x = 126 degrees
----------
90-x = 36 degrees
=============================
Cheers,
Stan H.
================