Question

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

Enter your answer in the box.

Answer 1

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

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

Answer 2

ANSWER


$x = 20 \degree$


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,


$x = \frac{60}{3}$


$\therefore \: x = 20 \degree$