Question

Parallel lines are cut by a transversal such that the alternate interior angles have measures of 3x + 17 and x + 53 degrees. Find the value of x

Answer 1

When parallel lines are cut by a transversal, the alternate interior angles are equal.

3x + 17 = x + 53

Subtract 'x' from each side:

2x + 17 = 53

Subtract 17 from each side:

2x = 36

Divide each side by 2 :

x = 18

Answer 2

3x+17=x+53 ( the angles are equal)
3x-x=53-17
2x=36
x=36:2
x=18