Question 159957
The measure of the complement of an angle is 45+x. The measure of the supplement of an angle is 15x-47. What is the measure of the angle?
--------------
Let the measure of the angle be "y".
EQUATIONS:
y + 45+x = 90
y + 15x-47 = 180
----------------
Rearrange to get:
y +   x = 45
y + 15x = 227
-------------
Subtract 1st from 2nd to solve for "x":
14x = 182
x = 13
--------------------
Substitute to solve for "y":
y + 13 = 45
y = 32 (final answer)
=======================
Cheers,
Stan H.