Answer:
B 84
Step-by-step explanation:
Angles P and R are complementary, so ...
(2x -6) + (3x -24) = 90
5x -30 = 90 . . . collect terms
x -6 = 18 . . . . . divide by 5
x = 24 . . . . . . . add 6
∠P = (2x-6)° = (2·24 -6)° = 42°
The measure of arc SR is twice the measure of ∠P, so is ...
arc SR = 2·42° = 84°
Angle measure of triangle
= 180 degrees
X = 180- 75 - 50 = 180 - 120 = 60
Ans= 60 degrees
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