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9514 1404 393
Answer:
∠P = 27°, ∠Q = 39°, ∠R = 114°
Step-by-step explanation:
The sum of angle measures in a triangle is 180°.
P +Q +R = 180°
(x +8)° +(2x +1)° +(6x)° = 180°
9x +9 = 180 . . . . . . . . divide by °, simplify
x +1 = 20 . . . . . . . . . . divide by 9
x = 19 . . . . . . . . . . . . . subtract 1
P = (x +8)° = 27°
Q = (2x +1)° = 39°
R = 6x° = 114°