Question

multiple representations using alternate interior angles, write an equation in terms of x that will make line m parallel to line n. find the value of x that makes line m parallel to line n. use pencil and paper. find the measures of a different pair of angles that will make line m parallel to line n. justify your reasoning.(the figure is not to scale.)which of the following equations will make line m parallel to line n?a. $2x + 48 = 98$b. $2x - 132 = 82$c. $2x - 132 = 98$d. $2x + 48 = 82$

Explanation:

Step1: Identify alternate interior angles

The alternate interior angles are $(2x + 48)^\circ$ and $82^\circ$. For lines $m$ and $n$ to be parallel, these angles must be equal.

Step2: Set up the equation

Equate the two angle measures:
$2x + 48 = 82$

Answer:

D. $2x + 48 = 82$