Question

lines m and n are parallel. use the diagram to identify the type of angle pairs. corresponding, alt. int. angle. alt ext. vertical, linear pair or consecutive interior angles

Answer 1

Angle 2 and Angle 7: Alt. Interior, Congruent

Angle 1 and Angle 5: Corresponding, Congruent

Angle 4 and Angle 7: Consecutive Interior, Congruent

Angle 5 and Angle 8: Vertical, Congruent

Angle 1 and Angle 2: Linear Pair, Supplementary

Answer 2

Angles Type Relationship

∠2 and ∠7 Alternative interior Congruent

∠1 and ∠5 Corresponding angles Congruent

∠4 and ∠7 Consecutive interior angles Supplementary

∠5 and ∠8 Vertical angles Congruent

∠1 and ∠2 Linear pair Supplementary

Explanation:

The lines m and n are parallel. The parallel line cuts by a transversal.

The following properties are holds true.

1) Corresponding angles are equal

2) Alternative interior angles are equal.

3) Linear pairs add upto 180 degrees.

4) Vertical opposite angles are equal.

Angles Type Relationship

∠2 and ∠7 Alternative interior Congruent

∠1 and ∠5 Corresponding angles Congruent

∠4 and ∠7 Consecutive interior angles Supplementary

∠5 and ∠8 Vertical angles Congruent

∠1 and ∠2 Linear pair Supplementary