Question

Line r is parallel to line t. Find M<5

Answer 1

Explanation:

$\textsf{\textbf{Short explanation:}}$

We know that alternate angles are equal when the lines that are intersected by a transversal are parallel.

∴ Since ∠5 is an alternate exterior angle with respect to the 138° angle,

∠5 = 138°

$\textsf{\textbf{A little lengthier explanation:}}$

Since corresponding angles are equal  when the lines that are intersected by a transversal are parallel,

∠2 = 138°

We also know that vertically opposite angles are equal to each other.

∴ ∠5 = ∠2 = 138°.

Answer: ∠5 = 138°

I hope this helps. :D

Answer 2

Answer:

138°

Step-by-step explanation:

m∠5=138°              [Alt. ext. angles are always equal if lines are parallel]