Question

Write and solve an equation to find the measure of each angle in the triangle below.

Answer 1

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