AnswersMathematics IIAngles and Lines

Angles and Lines — Test Answers

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1
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What is m angle MHJ ?

A
50 degrees
B
35 degrees
C
92.5 degrees
D
72.5 degrees
2
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What is the measure of angle TSU ?

A
65 degrees
B
25 degrees
C
45 degrees
D
75 degrees
3

If A is parallel to b and e is parallel to f , what is the value of y ?

A
88
B
87
C
91
D
92
4

What is the missing reason in step 3?

A
substitution property of equality
B
angle addition postulate
C
subtraction property of equality
D
addition property of equality
5

Statements Reasons 1. line segment NM is parallel to line segment PO 1. given 2. angle 2 is congruent to angle 3 2. alternate interior angles theorem 3. angle 1 is congruent to angle 3 3. given 4. angle 1 is congruent to angle 2 4. ? 5. line segment LM is parallel to line segment NO 5. converse of alternate interior angles theorem What is the missing reason in the proof?

A
alternate interior angles theorem
B
given
C
transitive property
D
converse alternate interior angles theorem
6

Question text not available

Answer:

80

7

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

A
Image with description Parallel lines are intersected by a transversal line. The first line intersecting the transversal line creates 4 angles, the top right angle is labeled as 115 degrees. The second line intersecting the transversal line creates 4 angles, the top left angle is labeled as 115 degrees.
B
Image with description Parallel lines are intersected by a transversal line. The first line intersecting the transversal line creates 4 angles, the top left angle is labeled as 65 degrees, and the bottom right angle is labeled as 65 degrees.
C
Image with description Parallel lines are intersected by a transversal line. The first line intersecting the transversal line creates 4 angles, the bottom left angle is labeled as 115 degrees, and the bottom right angle is labeled as 65 degrees.
D
Image with description Parallel lines are intersected by a transversal line. The first line intersecting the transversal line creates 4 angles, the top left angle is labeled as 115 degrees. The second line intersecting the transversal line creates 4 angles, the top left angle is labeled as 65 degrees.
8

In which diagram do angles 1 and 2 form a linear pair?

A
Image with description 2 rays emerge from the center of the horizontal line. Angles are labeled from left to right as 1, 2, and 3.
B
Image with description Two lines intersect at a point. The vertical angles are named as 1 and 2, respectively.
C
Image with description 3 rays emerge from a common vertex point to form two angles. Angles are labeled as 1, and 2. Both angles add up together to form a right angle.
D
Image with description Angles 1 and 2 have a common vertex and a common side. They both lie in a straight line.
9

What is the length of segment TQ ?

A
14 units
B
11 units
C
15 units
D
4 units
10

The measure of one angle is 130 degrees Which statement is true regarding the 130 degrees angle and angle 3 ?

A
They are alternate interior angles, so angle 3 also measures 130 degrees .
B
They are alternate exterior angles, so angle 3 measures 50 degrees .
C
They are same-side interior angles, so angle 3 measures 50 degrees .
D
They are corresponding angles, so angle 3 also measures 130 degrees .
11

What is the value of x ?

A
x is equal to 28
B
x is equal to 35
C
x is equal to 37
D
x is equal to 21
12

Which statement is true about angles 3 and 5?

A
They are congruent.
B
They are acute.
C
They are complementary.
D
They are supplementary.
13

Which lines are parallel? Justify your answer.

A
Lines A and b are parallel because their corresponding angles are congruent.
B
Lines A and b are parallel because their same side exterior angles are congruent.
C
Lines e and f are parallel because their same side exterior angles are supplementary.
D
Lines e and f are parallel because their corresponding angles are congruent.
14

Which reason justifies the statement that angle KLC is complementary to angle KJC ?

A
Angles that are congruent are supplementary to the same angle.
B
Complementary angles are always also congruent.
C
Angles that are congruent are complementary to the same angle.
D
All angles in a rectangle are right angles.
15

Based on the given information, what is AE ?

A
12 units
B
2 units
C
7 units
D
17 units
16

In the diagram, what is the measure of angle WRS ?

A
5 degrees
B
37.5 degrees
C
25 degrees
D
7.5 degrees
17

Which line segment has the same measure as line segment TQ ?

A
line segment SR
B
line segment TR
C
line segment ST
D
line segment QS
19

What is the value of x ?

A
34
B
68
C
56
D
79
20

Which statements are true about the figure? Choose two correct answers.

A
angle GNM is supplementary to angle JNK .
B
angle MNG is complementary to angle GNJ .
C
angle GNJ is complementary to angle JNK .
D
angle KNJ is supplementary to angle MNL .
E
angle MNL is complementary to angle KNL .
21

Lines AC and RS can best be described as

A
parallel.
B
intersecting.
C
perpendicular.
D
skew.

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