Answer:
x = 60
Step-by-step explanation:
Given: L ∥ M and the line going through them is transversal
The sum of the interior angles on the same side of a transversal is equal to 180 degrees; therefore, (2x + 5) degrees + (x - 5) degrees = 180 degrees.
2x + 5 + x - 5 = 180
2x + x + 5 - 5 = 180
3x + 0 = 180
3x = 180
x = 180/3
x = 60
Double Check:
2(60) + 5 + (60) - 5 = 180 degrees
120 + 5 + 55 =
125 + 55 =
180 degrees
180 degrees = 180 degrees
