Question

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

Answer 1

The sum of the mmeasures of the interior angles of a triangle is 180 degrees.
x + 2 + x - 4 + x + 2 = 180
Simplify.
3x = 180
Divide both sides by 3.
x = 60
Angle A and C = 60 + 2 = 62 degrees.
Angle B = 60 - 4 = 56 degrees