Question

parallel lines/traversal
make two selections...

1. what are the angles called?
2. what is the correct equation set up?

(select all that apply.)
alternate interior
alternate exterior
corresponding
consecutive
10x + 5 = 11x - 7
10x + 5 + 11x - 7 = 180
submit
select all that apply and press submit to check.

Explanation:

Step1: Identify the type of angles

Alternate exterior angles are non - adjacent and lie outside the two parallel lines and on opposite sides of the transversal. Here, the given angles \((10x + 5)^{\circ}\) and \((11x-7)^{\circ}\) are non - adjacent, lie outside the two parallel lines (the two lines with arrowheads) and on opposite sides of the transversal (the vertical line).

Step2: Set up the equation

Since alternate exterior angles are congruent (equal in measure) when the lines are parallel, we set up the equation \(10x + 5=11x - 7\)

Answer:

1. Alternate Exterior
2. \(10x + 5=11x - 7\)