Answer:
x = 17°
Explanation:
Hello!
Angle KLM is an exterior angle of Triangle JKL. An exterior angle's measure is equal to the sum of the two remote interior angles.
The two remote interior angles are Angle K and Angle J. We can solve for x by setting up an equation: (7x - 32) + (5x - 27) = (9x - 8)
Solve for x
- (7x - 32) + (5x - 27) = (9x - 8)
- 7x - 32 + 5x - 27 = 9x - 8
- 12x - 59 = 9x - 8
- 12x - 51 = 9x
- 12x = 9x + 51
- 3x = 51
- x = 17
The value of x is 17°.