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

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

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

Step-by-step 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

x = -4

step-by-step explanation:

- 20 - 4(x + 3) = 4x

=> -20 - 4x - 12 = 4x

=> - 32 -4x = 4x

=> -32 = 4x + 4x

=> - 32 = 8x

=> -32/8 = x

=> -4 = x