Angle Relationships in Lines Crossed by a Transversal

Corresponding Angles

100

The list of all corresponding angle pairs.

What are angles 1 & 5, angles 2 & 6, angles 3 & 7, and angles 4 & 8?

200

The measure of angle 1 if line m || line n and the measure of angle 5 is 105^o

What is 105^o?

300

The value of x that makes line m || line n if m<3=2x+5 and m<7=3x-3.

What is 8?

400

The m<6 if line m || line n and m<1=127^o.

What is 53^o?

500

The postulate that says that line m || line n if m<4 = m<8.

What is the Converse of the Corresponding  Angles Postulate?

Alternate Interior Angles

100

The list of all alternate interior angle pairs.

What is <4 & <6, and <3 & <5?

200

The m<3 if line m || line n and m<5=120^o.

What is 120^o?

300

The value of x that makes line m || line n if m<4=5x-3 and m<6=4x.

What is 3?

400

The m<6 if line m || line n and m<1=115^o.

What is 65^o?

500

The theorem that states that if line m || line n, then alternate interior angles are congruent.

What is the Alternate Interior Angle Theorem?

Consecutive Interior Angles

100

The list of all consecutive interior angle pairs.

What are <4 & <5, and <3 & <6?

200

The m<4 if line m || line n and m<5=100^o.

What is 80^o?

300

The value of x that makes line m || line n if m<3=2x+1 and m<6=5x-3.

What is 26?

400

The m<5 if line m || line n and m<2=25^o.

What is 155^o?

500

The theorem that states that if <4 and <5 are supplementary, then line m || line n.

What is the Converse of the Consecutive Interior Angles Theorem?

Alternate Exterior Angles

100

The list of all Alternate Exterior Angles.

What are <1 & <7, and <2 & <8?

200

The m<2 if line m || line n and m<8=35^o.

What is 35^o?

300

The value of x that makes line m || line n if m<1=3x-9 and m<7=2x+7.

What is 16?

400

The m<8 if line m || line n and m<3=140^o.

What is 40^o?

500

The theorem that states that line m || line n if m<1=m<7.

What is the Converse of the Alternate Exterior Angles Theorem?

Consecutive Exterior Angles

100

The list of all Consecutive Exterior Angle pairs.

What are <1 & <8, and <2 & <7?

200

The m<1 if line m || line n and m<8=50^o.

What is 130^o?

300

The value of x that makes line m || line n if m<2=4x-2 and m<7=2x+8.

What is 29?

400

The m<2 if the m<5=160^o.

What is 20^o?

500

The theorem that states that if line m || line n then <2 and <7 are supplementary.

What is the Consecutive Exterior Angle Theorem?