# Parallel Lines Cut by a Transversal Worksheets

Equip yourself with these parallel lines and transversal worksheets to identify angle relationships. When two parallel lines are cut by a transversal, corresponding angles are equal, alternate interior and exterior angles are congruent, and consecutive interior angles are supplementary. These PDF resources, complete with answer keys, provide exercises to apply these postulates and find the measures of the unknown interior, exterior, alternate, consecutive, and corresponding angles. Grab our free worksheets for a quick review!

Identifying Angle Relationships

Examine the relationships between angles formed when a transversal intersects two parallel lines, and identify the angles as interior, exterior, consecutive, and corresponding angles.

Alternate Angles in Parallel Lines

Use our alternate angles in parallel lines worksheets to find unknown angles by applying the alternate angle theorem, which states that alternate interior and exterior angles are congruent.

Interior Angles in Parallel Lines

Angles between lines on the opposite sides of the transversal are called interior angles and are congruent. Determine the measure of the unknown interior angles using this postulate.

Exterior Angles in Parallel Lines

Assist grade 8 and high school children in identifying and finding the measures of exterior angles formed on opposite sides of the transversal and outside the two parallel lines in these printables.

Interior and Exterior Angles in Parallel Lines

In these worksheets on angles formed by parallel lines cut by a transversal, identify whether the two highlighted angles are same-side or alternate angles and apply the properties to find unknown angles.

Corresponding Angles in Parallel Lines

When a transversal intersects two parallel lines, the corresponding angles are equal. Apply this property to find angle measures in these corresponding angles in parallel lines worksheets.

Supplementary and Congruent Angles in Parallel Lines

Complete these practice sheets identifying supplementary and congruent angles. Pairs of angles are congruent if they are vertical, corresponding, or alternate. They are supplementary if they are linear or consecutive.

Parallel Lines and Transversals | Mixed Review

Gain a thorough knowledge of the relationships between the angles in parallel lines and the application of their properties with these parallel lines and transversal worksheets.

Finding the Measures of the Indicated Angles

Direct young mathematicians to carefully examine the figures, apply appropriate postulates, and find measures of indicated angles using known angle measures.

Solving for x and Finding Unknown Angles

Multiple angles are created when a transversal intersects two parallel lines. Utilize angle properties to determine the value of x.

Solving Equations to Find the Angles

Each worksheet on parallel lines cut by a transversal takes your learning to the next level. Set up the equation, find the value of x, and then find the measures of the indicated angles.