Question

What is the measure of <A in the triangle below​

Answer 1

∠A = 62°

Explanation:

∠ACB = 180 - 116 = 64°

∠A + ∠B + ∠C = 180°

(3x - 13) + (2x + 4) + 64 = 180°

3x + 2x - 13 + 4 + 64 = 180°

5x + 55 = 180°

5x = 180 - 55

5x = 125

x = 125/5

x = 25

∠A = 3x - 13

∠A = 3(25) - 13

∠A = 75 - 13

∠A = 62°