Respuesta :

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