Slopes of Parallel and Perpendicular Lines Answers

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Lines j and k are intersected by line m. At the intersection of lines j and m, the uppercase left angle is 93 degrees. At the intersection of lines k and m, the bottom right angle is 93 degrees.

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A
alternate interior angles theorem
B
alternate exterior angles theorem
C
converse alternate interior angles theorem
D
converse alternate exterior angles theorem
23

Horizontal lines e and f are intersected by lines a and b. At the intersection of lines a and e, the uppercase left angle is 75 degrees. At the intersection of lines b and e, the uppercase right angle is 115 degrees. At the intersection of lines a and f, the bottom right angle is 75 degrees.

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A
Lines a and b are parallel because their alternate exterior angles are congruent.
B
Lines a and b are parallel because their same side exterior angles are supplementary.
C
Lines e and f are parallel because their alternate exterior angles are congruent.
D
Lines e and f are parallel because their same side exterior angles are congruent.
24

Lines b and a are intersected by line f. At the intersection of lines f and b, the bottom left angle is angle 4 and the bottom right angle is angle 3. At the intersection of lines f and a, the uppercase right angle is angle 1 and the bottom left angle is angle 2.

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A
m∠4 = 110° and m∠3 = 70°
B
m∠1 = 110° and m∠2 = 110°
C
m∠1 = 110° and m∠3 = 70°
D
m∠2 = 110° and m∠3 = 110°
25

Lines a and b are cut by transversal f. At the intersection of lines f and a, the top left angle is 96 degrees. At the intersection of lines b and f, the bottom right angle is (6 x minus 36) degrees.

Question illustration
A
10
B
20
C
22
D
32

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