Answer:
Correct answer: m∠A = 52°
Step-by-step explanation:
Given:
m∠A = 9 x - 2 = ?
m∠B = 16 x
m∠C = 5 x + 2
The sum of the inner angles in a triangle is 180 degrees
m∠A + m∠B + m∠C = 180°
9 x - 2 + 16 x + 5 x + 2 = 180
30 · x = 180
x = 180 / 30 = 6°
x =6°
m∠A = 9 x - 2 = 9 · 6 - 2 = 54 - 2 = 52°
m∠A = 52°
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