Answer:
P = 94°
Step-by-step explanation:
The total of interior angles of a pentagon is 180°(5 -2) = 540°.
P +Q +R +S +T = 540°
(4x +2)° +132° +(4x -10)° +(5x -11)° +128° = 540°
13x = 299 . . . . . . . divide by °, subtract 241, collect terms
x = 23 . . . . . . . . divide by 13
Then the measure of P is ...
P = (4(23) +2)°
P = 94°
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Additional comment
R = 82°, S = 104°
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The total of interior angles of an n-sided convex polygon is 180°(n -2).
