 Alternate Interior and Exterior Angles —Practice Geometry Questions - dummies

# Alternate Interior and Exterior Angles —Practice Geometry Questions

When two parallel lines are intersected by a third line (called a transversal), congruent pairs of angles are formed, including alternate interior angles and alternate exterior angles.

The following practice questions ask you to use this information to find a missing angle, and then to apply some algebra to calculate a missing variable.

## Practice questions

Use the diagram and the given information to solve the problem. 1. Parallel lines are cut by a transversal. If is represented by is represented by 4x – 45, find the value of x.

2. Parallel lines are cut by a transversal. If are represented by respectively, find the degree measure of 1. 20 are alternate interior angles. Alternate interior angles are congruent, so set their measures equal to each other and solve for x: 2. 140 degrees are alternate exterior angles. Alternate exterior angles are congruent, so set their measures equal to each other and solve for x: which means they add up to 180 degrees. Use this info to solve for 