Question

Given m, is parallel to, nm∥n, find the value of x.
m
n
t
(3x-17)°
(2x+2)°
Answer
Attempt 1 out of 2

Answer 1

I need to know how the two marked angles sit relative to the transversal (corresponding/alternate or same‑side interior). Two possibilities:

1. If the angles are corresponding or alternate interior (so they are congruent):
3x − 17 = 2x + 2
x = 19
(Then each angle = 3·19 − 17 = 40°.)

2. If the angles are same‑side interior (consecutive interior), they are supplementary:
(3x − 17) + (2x + 2) = 180
5x − 15 = 180
x = 39
(Then the angles are 100° and 80°, which add to 180°.)

If you can describe or upload the diagram (which angle is where) I will pick the correct case and give the final answer.