Answer:
x = 36
The measure of the exterior angle is 114°
The remote interior angles are 24° and 90°.
Explanation:
The angle marked 3x + 6 is the exterior angle. The other two marked angles are called "remote interior angles"
The two remote interior angles added together equals the exterior angle.
3x+6 = 24° + 2x + 18
Combine like terms.
3x + 6 = 2x + 42
Subtract 2x from both sides.
x + 6 = 42
Subtract 6 from both sides.
x = 36
If required, use the x=36 to find the measure of the exterior angle.
3(36) + 6
= 108 + 6
= 114°
Or find the measures of the remote interior angles.
2(36) + 18
= 72 + 18
= 90°
The remote interior angles are 24° and 90°.