SOLUTION: Angle P measures 30 degrees more than the measure of its supplement. What is the measure of angle P in degrees?

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Question 536549: Angle P measures 30 degrees more than the measure of its supplement. What is the measure of angle P in degrees?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
"Angle P measures 30 degrees more than the measure of its supplement" means that P=%28180-P%29%2B30

Note: 180-P is the supplementary angle to angle P


Now solve for P


P=%28180-P%29%2B30 Start with the given equation.


P=180-P%2B30 Remove parenthesis (they're unneeded).


P=-P%2B210 Combine like terms on the right side.


P%2BP=210 Add P to both sides.


2P=210 Combine like terms on the left side.


P=%28210%29%2F%282%29 Divide both sides by 2 to isolate P.


P=105 Reduce.


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Answer:

So the solution is P=105


So the measure of angle P is 105 degrees