Parallel Lines and Triangle Angle Sum

If n ∥ m, which of the following statements are true? Select all that apply.(2 answers)

• 1. m∠2 ≅ 60

• m∠3 = 100

• m∠2 + m∠4 = 80

• 1. m∠2 + m∠3 = 80

Which statement must be true to prove m∠1 + m∠2 + m∠3 = 180?

• 
  m ∥ n

• m∠1 + m∠2 = 180 − m∠3

• m∠1 + m∠2 = 90

• m∠1 + m∠2 + m∠3 = 180

What is the measure of the missing angle?

• 82

• 43

• 55

• 180

Corresponding angles formed by a transversal cutting through parallel lines are _________________.

• Congruent

• Supplementary

• Complementary

• Linear pairs

In this figure, 𝒍||𝒎. Jessie listed the first two steps in a proof that ∠𝟏 + ∠𝟐 + ∠𝟑 = 𝟏𝟖𝟎°. Which justification can Jessie give for Steps 1 and 2?

• Alternate interior angles are congruent.

• Corresponding angles are congruent.

• Vertical angles are congruent.

• Alternate exterior angles are congruent

If a line ​ (a)   two sides of triangle ​ (b)   the line must be ​ (c)   to the ​ (d)   of the triangle

• divides

• proportionally

• parallel

• third side

In the figure shown below, E and G lie on AC , D and F lie on AB , DE and FG are parallel to BC , and the given lengths are in feet. What is the length of AC , in feet?

• 13

• 26

• 29

• 42

• 48

Solve for x.

• 44^o

• ^-14o

• -7^o

• 63^o

If lines are parallel, then alternate interior angles are _____________

• congruent

• parallel

• complementary

• supplementary

What is reason #2?

• Vertical angles are congruent.

• Consecutive angles are congruent.

• Alternate interior angles are congruent.

• Definition of Bisect