Parallel Lines Cut by a Transversal

What are angles 2 and 8?

• Alternate Interior Angles

• Same Side Interior Angles

• Alternate Exterior Angles

• Corresponding Angles

Answer explanation

Alternate Exterior Angles are angles outside the parallel lines and on opposite sides of the transversal. They are congruent (equal in measure).

Given m∠5=132^o, what is m∠6.

Answer explanation

Supplementary Angles add to 180 degrees.

What are angles 4 and 7?

• Alternate Interior Angles

• Same Side Interior Angles

• Alternate Exterior Angles

• Corresponding Angles

Answer explanation

Same Side Interior Angles are angles inside the parallel lines and on the same side of the transversal. They are supplementary (add to 180 degrees).

What are angles ∠SUV and ∠XUT?

• Vertical Angles

• Supplementary Angles

• Alternate Exterior Angles

• Corresponding Angles

Answer explanation

Vertical angles and non-adjacent angles that are across from each other in intersecting lines. They are congruent (equal in measure).

Given m∠1=132^o, what is m∠7.

Answer explanation

Alternate Interior Angles are inside the parallel lines and on opposite sides of the transversal. They are congruent (equal in measure).

Answer explanation

Vertical Angles are non-adjacent angles that are across from each other in intersecting lines. They are congruent (equal in measure).

Answer explanation

Same Side Interior Angles are supplementary angles (they add to 180 degrees).

What are angles ∠SUV and ∠VUX?

• Vertical Angles

• Supplementary Angles

• Alternate Exterior Angles

• Corresponding Angles

Answer explanation

Supplementary Angles are angles that add to 180 degrees.

What are angles 1 and 7?

• Alternate Interior Angles

• Same Side Interior Angles

• Alternate Exterior Angles

• Corresponding Angles

Answer explanation

Alternate Interior Angles are angles inside the parallel lines and on opposite sides of the transversal. They are congruent (equal in measure).

Answer explanation

Corresponding Angles are in the same relative position (matching corners) and congruent (equal in measure).