2.2 Review - Math 201 Quiz

In the figure to the left, line 𝑙 is parallel to line 𝑚. Identify the angle pair as congruent or supplementary. Justify your reasoning by naming the angle relationship of each angle pair.

a. ∠1 and ∠8

Congruent or Supplementary? Angle Relationship?

In the figure to the left, line 𝑙 is parallel to line 𝑚. Identify the angle pair as congruent or supplementary. Justify your reasoning by naming the angle relationship of each angle pair.

b. ∠5 and ∠6

Congruent or Supplementary? Angle Relationship?

In the figure to the left, line 𝑙 is parallel to line 𝑚. Identify the angle pair as congruent or supplementary. Justify your reasoning by naming the angle relationship of each angle pair.

c. ∠6 and ∠8

Congruent or Supplementary? Angle Relationship?

In the figure to the left, line 𝑙 is parallel to line 𝑚. If the 𝑚∠3 = 74°, find the measure of each angle.

𝑚∠2 =

Angle Relationship (Justification)?

In the figure to the left, line 𝑙 is parallel to line 𝑚. If the 𝑚∠3 = 74°, find the measure of each angle.

𝑚∠4 =

Angle Relationship (Justification)?

In the figure to the left, line 𝑙 is parallel to line 𝑚. If the 𝑚∠3 = 74°, find the measure of each angle.

𝑚∠5 =

Angle Relationship (Justification)?

Name the type of angle relationship and then find the measure of the missing angle.

Angle Relationship?

Angle Measure?

• The angle relationship is Alternate Exterior and the measure of the missing angle is 110 degrees.

• The angle relationship is Corresponding and the measure of the missing angle is 70 degrees.

• The angle relationship is Alternate Exterior and the measure of the missing angle is 70 degrees.

• The angle relationship is Corresponding and the measure of the missing angle is 110 degrees.

Name the type of angle relationship and then find the measure of the missing angle.

Angle Relationship?

Angle Measure?

• The angle relationship is corresponding and the measure of the missing angle is 59 degrees.

• The angle relationship is Consecutive Exterior and the measure of the missing angle is 121 degrees.

• The angle relationship is Consecutive Interior and the measure of the missing angle is 121 degrees.

• The angle relationship is Alternate Interior and the measure of the missing angle is 59 degrees.

Identify the name of the angle relationship shown in the diagram. Determine if the angles shown are congruent or supplementary. Write an equation using the relationship, then solve for x.

Angle Relationship:

Congruent or Supplementary?

Equation:

x=

• Angle Relationship: Vertical

  Congruent

  Equation: 14x + 4 = 60

  x = 4

• Angle Relationship: Alternate Exterior

  Congruent

  Equation: 14x + 4 = 60

  x = 4

• Angle Relationship: Consecutive Exterior

  Supplementary

  Equation: 14x + 4 = 60

  x = 8.2

• Angle Relationship: Alternate Interior

  Congruent

  Equation: 14x + 4 + 60 = 180

  x = 4

Identify the name of the angle relationship shown in the diagram. Determine if the angles shown are congruent or supplementary. Write an equation using the relationship, then solve for x.

Angle Relationship:

Congruent or Supplementary?

Equation:

x=

• Angle Relationship: Linear Pair

  Supplementary

  Equation: 130 + 8x +2 = 180

  x = 6

• Angle Relationship: Vertical

  Supplementary

  Equation: 130 + 8x +2 = 180

  x = 6

• Angle Relationship: Vertical

  Congruent

  Equation: 8x + 2 = 130

  x = 16

• Angle Relationship: Linear Pair

  Supplementary

  Equation: 8x + 2 = 130

  x = 16