Question 536549
"Angle P measures 30 degrees more than the measure of its supplement" means that {{{P=(180-P)+30}}}


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



Now solve for P



{{{P=(180-P)+30}}} Start with the given equation.



{{{P=180-P+30}}} Remove parenthesis (they're unneeded).



{{{P=-P+210}}} Combine like terms on the right side.



{{{P+P=210}}} Add {{{P}}} to both sides.



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



{{{P=(210)/(2)}}} 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