SOLUTION: In parralelogram PQRS, the measure of angle P is (3x-4)degrees degrees. The measure of angle Q is (5x+8) degrees. Find the measures of the angles.

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Question 928312: In parralelogram PQRS, the measure of angle P is (3x-4)degrees degrees. The measure of angle Q is (5x+8) degrees. Find the measures of the angles.
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Since P and Q are adjacent vertices, the angles are supplementary, so they add up to 180%5Eo :
%283x-4%29%2B%285x%2B8%29=180
3x-4%2B5x%2B8=180
8x%2B4=180
8x=180-4
8x=176
x=176%2F8
x=22
Then,
3x-4=3%2A22-4--->3x%2B4=66-4--->3x-4=62
Angle P measures 62%5Eo , and so does the opposite angle, R.
Angles Q and S measure 180%5Eo-62%5Eo=118%5Eo
As a verification, we could calculate
5x%2B8=5%2A22%2B8--->5x%2B8=110%2B8--->5x%2B8=118