Proving Lines Parallel

What must be the value of x so that lines a and b are parallel lines cut by transversal f? The value of x is ______

22

Lines a and b are parallel and lines e and f are parallel. What is the value of x?

82

Lines a and b are parallel and lines e and f are parallel. If m<1 = 89°, what is the measure of <5? m<5 = ________

91°

Letters a, b, c, and d are angles measures. Which equation is enough information to prove that lines m and n are parallel lines cut by transversal p? Check all that apply.

a = d c = d b + d = 180°

Which lines are parallel? Justify your answer.

a. Lines a and b are parallel because their corrresponding angles are congruent.

Letters w, x, y, and z are angle measures. Which should equal 92° to prove that r || s?

a. w

In the diagram, g || h, m<1 = (4x + 36)°, and m<2 = (3x - 3). What is the measure of <3?

b. 60°

Lines c and d are parallel lines cut by transversal p. Which must be true by corresponding angles theorem?

b. <2 ~= <6

Which diagram shows lines that must be parallel lines cut by a transversal?

b. diagram 2

Parallel lines e and f are cut by transversal b. What is the value of y?

c. 130

Parallel lines e and f are cut by transversal b. What is the value of x?

c. 25

Which lines are parallel? Justify your answer.

c. Lines e and f are parallel because their alternate exterior angles are congruent.

Given: AB || DC and m<2 ~= m<4 Prove: AD || BC 4. ?

c. m<1 + m<4 = 180°

Given the information in the diagram in the diagram, which theorem best justifies why lines i and k must be parallel?

d. converse alternate exterior angles theorem

Letters a, b, c, and d are angle measures. Which should equal 105° to prove that f || g?

d. d