SOLUTION: Angles P and Q are complimentary. If mLP = x, and mLq = x+10, find the measure of each angle. Help please show the work.

Question 304765: Angles P and Q are complimentary. If mLP = x, and mLq = x+10, find the measure of each angle. Help please show the work.
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Angles P and Q are complimentary. If mLP = x, and mLq = x+10, find the measure of each angle. Help please show the work.
.
If two angles are complementary, this means that the sum of the two angles equals 90 degrees.
.
This must mean that
x + x+10 = 90
2x+10 = 90
2x = 80
x = 40
.
So:
mLP = x = 40 degrees
mLq = x+10 = 40+10 =50 degrees
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