SOLUTION: The measure of the supplement of an angle exceeds three times the measure of the complement of the angle by 12. Find the measure of half of the supplement.

Question 255452: The measure of the supplement of an angle exceeds three times the measure of the complement of the angle by 12. Find the measure of half of the supplement.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The measure of the supplement of an angle exceeds three times the measure of the complement of the angle by 12. Find the measure of half of the supplement.
------------------------------------
Let the angle be "x".
Supplement is 180-x
complement is 90-x
---------------------------
Equation:
180-x - 3(90-x) = 12
180-x - 270 + 3x = 12
2x = 102
x = 51 degrees
---------------------
The supplement is 180-51 = 129 degrees
---
Final answer: half the supplement = 129/2 = 64.5 degrees
==============================================================
Cheers,
Stan H.
RELATED QUESTIONS
The measure of the supplement of an angle exceeds 3 times the measure of the complement... (answered by drj)

The measure of the supplement of an angle exceeds five times the measure of the... (answered by rapaljer)

The measure of the supplement of an angle exceeds twice the measure of the complement of... (answered by drj)

The measure of the supplement of an angle exceeds 4 times the complement of the angle by... (answered by sheldonbbtrocks)

The measure of the supplement of an angle exceeds 4 times the measure of the complement... (answered by Boreal,Theo)

Find the measure of an angle whose supplement exceeds its complement by 90... (answered by oberobic)

The measure of a supplement of an angle is 12 degrees greater than three times the... (answered by Paul)

the measure of a supplement of an angle is 12 greater than three times the measure of a... (answered by cleomenius)

three times the measure of the supplement of an angle is equal to eight times the measure (answered by BurningFlame_marc)