Question

Δ ABC is isosceles. If m∠A = 100°, m∠B = (12x + 4)°, and m∠C = (14x - 2)°, find x.

Answer 1

Since the sum of the angles of a triangle is 180 degrees, we simply have to add all the angles and equate it to 180 to solve for x. So:
100 + 12x + 4 + 14x - 2 = 180
26x = 78
x = 3

So, x is equal to 3.