Question

For what value of x is line m parallel to line n? This is quite urgent.

Answer 1

20

Explanation:

Line m and n are parallel lines cut by the transversal (without name). So, angles with measures
`65^(\circ)` and
`(3x+5)^(\circ)` are corresponding angles.

The Corresponding Angles Theorem states if two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.

Hence,

`3x+5=65\\ \\3x+5-5=65-5\\ \\3x=60\\ \\x=(60)/(3)\\ \\x=20`