Patrick T. answered • 01/17/22

Tutor Specializing in French & Math (up to college Pre-Calculus)

Hello Emily,

Create an equation based on the fact that the sum of the measures of the 3 angles in a triangle is 180:

x + x + 24 + x - 36 = 180

Add like terms: 3x - 12 = 180

Add 12 to both sides: 3x = 192

Divide both sides by 3: x = 64

Therefore:

- Angle 1, x, has a measure of 64 degrees
- Angle 2, x +24, has a measure of 88 degrees
- Angle 3, x - 36, has a measure of 28 degrees

Check: Let's add all 3 angles: 64 + 88 + 28 = 152 + 28 = 180 degrees