Question

For ∆ABC, m∠A=(2x+3)°, m∠B=(x+5)°, and m∠C=(3x+4)°. What is the measure of angle A?

How do you find x?

Answer 1

m∠A + m∠B + m∠C = 180

2x+3 + x + 5 + 3x + 4 = 180
6x + 12 = 180
6x = 180 -12
6x = 168
x = 168/6
x = 28

m∠A=(2x+3) = 2(28) + 3 = 56 + 3 = 59