Answer:
m∠Q = 24°
m∠R = 60°
m∠S = 88°
Step-by-step explanation:
Since all angles in a triangle add up to 180°:
(x+2) + (3x-6) + 4x = 180
x + 3x + 4x + 2 - 6 = 180
8x - 4 = 180
8x = 176
x = 22°
Substituting into the angles given:
m∠Q = (x+2) = 22 + 2 = 24°
m∠R = (3x-6) = 3(22) - 6 = 66 - 6 = 60°
m∠S = (4x) = 4(22) = 88°
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