Question

For what value of x is line m parallel to line n?

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Answer 1

ANSWER



`x = 20 \degree`


Step-by-step explanation

If line m is parallel to line n, then the line that intersects line m and n is called a transversal.

In the given diagram, the

`65 \degree`
angle corresponds to


`(3x + 5) \degree`
angle.


These two angles are equal by the corresponding angle property of parallel lines.



We can therefore write the following equation and use it to find x.



`3x + 5 = 65`


We group like terms to obtain,



`3x = 65 - 5`


This implies that,


`3x = 60 \degree`


We divide both sides by 3 to get,



`x = (60)/(3)`



`\therefore \: x = 20 \degree`

Answer 2

the 65 angle and the 3x+5 angle are corresponding angles and as such they are congruent

65=3x+5
60 = 3x
x= 20