Question

Your friend incorrectly says the line m is parallel to line n when the measure angle X is 16. For which measure of angle x is line m parallel to line n? what was your friends likely mistake?

please guide me through this i’m lost on how to complete it

Answer 1

See below

Explanation:

Because lines M and N are parallel, then T is the transversal, which means that 74° and X° are corresponding angles and have the same angle measure of 74°. The friend probably thought 74° and X° were complementary angles, but this is not the case.

Answer 2

By the converse of the corresponding angles theorem,
`\boxed{x=74}`.

The likely mistake is the assumption that the two labeled angles are complementary.