Question

Given m, is parallel to, nm∥n, find the value of x.
m
n
t
(5x-24)°
(6x+6)°
Answer
Attempt 1 out of 2

Answer 1

I don’t see the diagram, but two common cases occur. I’ll give both and point out the likely one.

Case A — the two marked angles are same‑side interior (consecutive interior) so they are supplementary:
(5x − 24) + (6x + 6) = 180
11x − 18 = 180
11x = 198
x = 18

Check: 5(18) − 24 = 90 − 24 = 66°, and 6(18) + 6 = 108 + 6 = 114°, and 66° + 114° = 180°.

Case B — the two marked angles are corresponding (or alternate interior) so they are equal:
5x − 24 = 6x + 6
−x = 30
x = −30 (gives negative angle measures, so unlikely in a geometry diagram).

So most likely answer: x = 18. If you can upload or describe the picture (which angles they are), I’ll confirm.