Question

Find the value of x that makes m ∥ n.

Answer 1

Answer:

x=90

Step-by-step explanation:

If m//n , then the 2 angles should be congruent because of the exterior angle theorem.

Since they should be congruent, we can set them equal to each other

180-x=x

Add x to both sides

180-x+x=x+x

180=2x

Divide both sides by 2

180/2=2x/2

90=x

Answer 2

Answer: x° = 90

Step-by-step explanation:

Since m ║ n, we can assume that the two angles given here are alternate interior angles that are equal.

Therefore:

$180-x = x$

Solve for x by adding x to both sides. You will get:

$180=2x$

Divide each side by 2 to isolate the x. You will get:

$90=x$