Practice Transversal Angles in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
When a transversal (a line that crosses two parallel lines), it creates eight angles with four special relationships: corresponding angles are equal, alternate interior angles are equal, alternate exterior angles are equal, and co-interior (same-side interior) angles are supplementary.
Imagine a ladder leaning against two horizontal rails (the parallel lines). The ladder is the transversal. At each rail, the ladder makes the same pattern of angles—like a stamp pressed in two places. Corresponding angles are in matching positions at each crossing, and they're always equal when the rails are parallel.
Example 1
easyA transversal crosses two parallel lines. One of the angles formed is 65°. Find the corresponding angle and the alternate interior angle.
Example 2
mediumTwo parallel lines are cut by a transversal. Co-interior angles (same-side interior angles) are 3x + 10° and 5x - 30°. Find x and each angle.
Example 3
easyA transversal crosses two parallel lines. An alternate exterior angle is 112°. What is the measure of its paired alternate exterior angle?
Example 4
hardLines m and n are cut by a transversal. Corresponding angles are (7x - 15)° and (4x + 27)°. Are lines m and n parallel? If so, find the angle measure.