# Parallel lines are cut by a transversal such that the alternate interior angles have measures of 3x+17 and x+53 degrees. How do you find the value of x?

Mar 18, 2017

x=18

#### Explanation:

Alternate interior angles are always equal. So set up and equation.

3x+17=x+53

Bring the like terms to one side by performing the inverse operation

2x=36

x=$\frac{36}{2}$

x=18