Question

For what value of x is line m parallel to line n? Enter your answer in the box.

Answer 1

ANSWER


`x = 20 \degree`


Step-by-step explanation

Since the line m and line n are parallel, we use the corresponding angle property to obtain the equation,


`(3x+5) \degree = 65 \degree`


Remember the F-pattern of the corresponding angles.


We now group like terms to obtain,


`3x = 65 - 5`


We simplify the right hand side to get,


`3x = 60 \degree`


We now divide both sides of the equation by 3 to obtain,


`x = (60)/(3)`


This finally simplifies to,


`x = 20 \degree`