Question

Find the value of x that makes m ∥ n

Answer 1

Those two angles are alternate interior angles, so they must be congruent.

3x = 2x + 20

x = 20

Answer 2

Answer:

The value of x that makes m || n is x = 20

Step-by-step explanation:

Given a line that is intersected by another two lines (for example line ''m'' and line ''n'' like in the exercise) one of the conditions that makes m || n is that the alternate interior angles must be congruent. Understanding that congruent means the same.

In the exercise, one pair of alternate interior angles are (2x+20)° and 3x°.

We need this two angles to be congruent ⇒ $3x=2x+20$

Solving this for ''x'' :

$3x=2x+20\\3x-2x=20\\x=20$

The value of x that makes 3x° congruent to 2x+20° (that makes the alternate interior angles congruents) is x = 20