Answer:
x = 23 degrees
Step-by-step explanation:
It is given that the two parallel lines, (m) and (n) are intersected by a transversal. The two given angles (5x - 20) and (85) are alternate corresponding. Meaning that they are supplementary; their angle measures add up to (180) degrees. Based on this given information, form an equation and solve for the parameter (x).
(5x - 20) + (85) = 180
Simplify,
5x + 65 = 180
Inverse operations,
5x + 65 = 180
-65 -65
5x = 115
/5 /5
x = 23
