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).

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).

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).

What are angles 1 and 5?

• Alternate Interior Angles

• Same Side Interior Angles

• Alternate Exterior Angles

• Corresponding Angles

Answer explanation

Corresponding angles are in the same relative position (in matching corners) and on the same side of the transversal. They are congruent (equal in measure).

Given m∠8=48^o, what is m∠2.

Answer explanation

Alternate Exterior Angles are congruent (equal in measure).

What are supplementary angles?

• Angles that add up to 180°
• Angles that add up to 90°
• Angles that are equal to each other
• Angles that are opposite of each other when lines intersect

State the angle relationship and find the measure of angle 2

• Alternate Exterior
  127
• Alternate Exterior
  52
• Alternate Interior
  127
• Alternate Interior
  52

If angle 1 is 135 degrees, how many degrees is angle 3?

• 45 degrees
• 65 degrees
• 135 degrees
• 225 degrees