Question

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

a.9
b.18
c.35
d.71

Answer 1

It is a rule that alternate angles are equal, so using this fact, we can say that:
3x + 17 = x + 53
- x
2x + 17 = 53
- 17
2x = 36
÷ 2
x = 18
Which means that your answer would be B. x = 18
I hope this helps!