The given triangle is a right angle triangle. This means that one of the angles is 90 degrees. Recall, the sum of the angles in a triangle is 180 degrees. This means that
angle 1 + angle 2 + angle 3 = 180
angle 1 = 2x + 2
angle 2 = x + 10
angle 3 = 90 degrees
Thus,
2x + 2 + x + 10 + 90 = 180
We would collect like terms. Thus, we have
2x + x + 2 + 10 + 90 = 180
3x + 102 = 180
3x = 180 - 102 = 78
x = 78/3
x = 26
Thus,
angle 1 = 2(26) + 2 = 52 + 2 = 54 degrees
angle 2 = 26 + 10 = 36 degrees
angle 3 = 90 degrees
