Real Life Parallel Lines And Transversals

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| By Tjkim

Tjkim

Community Contributor

Quizzes Created: 25 | Total Attempts: 63,945

Questions: 15 | Attempts: 10,695 | Updated: Sep 13, 2023

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Questions and Answers

1.

The photo shows a portion of the St. Petersburg-Clearwater International Airport. What is the relationship between angle 3 and angle 6?
- A.
  
  Alternate exterior angles
- B.
  
  Alternate interior angles
- C.
  
  Same-side interior angles
- D.
  
  Corresponding angles
Correct Answer
A. Alternate exterior angles

Explanation
Angle 3 and angle 6 are alternate exterior angles. Alternate exterior angles are formed when a transversal intersects two parallel lines. In this case, the transversal is the line formed by the edge of the photo and the two parallel lines are the edges of the airport building. Angle 3 and angle 6 are on opposite sides of the transversal and are congruent, making them alternate exterior angles.

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13
0
2.

A store owner uses pieces of tape to paint a window advertisement. The letters are slanted at an 80 degree angle. What is the measure of angle 1?
- A.
  
  180
- B.
  
  80
- C.
  
  100
- D.
  
  160
Correct Answer
C. 100

Explanation
The measure of angle 1 is 100 degrees because the question states that the letters are slanted at an 80-degree angle. Since angle 1 is the complement of the slanted angle, it must be 100 degrees (180 - 80 = 100).

Rate this question:

8
6
3.
- A.
  
  138
- B.
  
  42
- C.
  
  142
Correct Answer
B. 42
4.
- A.
  
  110, 70
- B.
  
  180, 70
- C.
  
  70, 70
- D.
  
  70, 110
Correct Answer
D. 70, 110
5.

The pained lines that separate parking spaces are parallel. The measure of angle 1 is 60 degrees. What is the measure of angle 2?
- A.
  
  60
- B.
  
  180
- C.
  
  120
Correct Answer
A. 60

Explanation
The measure of angle 2 is 60 degrees because the pained lines that separate parking spaces are parallel, which means that angle 1 and angle 2 are corresponding angles. Corresponding angles that are formed by a transversal and parallel lines are congruent, so if angle 1 is 60 degrees, then angle 2 must also be 60 degrees.

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8
0
6.

Find the value of x.
- A.
  
  180
- B.
  
  50
- C.
  
  130
Correct Answer
C. 130
7.

Find the value of x.
- A.
  
  115
- B.
  
  65
- C.
  
  180
Correct Answer
A. 115
8.

Find x.
- A.
  
  116
- B.
  
  64
- C.
  
  58
Correct Answer
B. 64
9.

Redding Lane and Creek Road are parallel streets that intersect Park Road along the west side of Wendell Park. If angle 1 is 118 degrees, then what is angle 2?
- A.
  
  118
- B.
  
  62
- C.
  
  180
Correct Answer
A. 118

Explanation
Since Redding Lane and Creek Road are parallel streets, angle 1 and angle 2 are corresponding angles. Corresponding angles are congruent when the two parallel lines are intersected by a transversal. Therefore, angle 2 must also be 118 degrees.

Rate this question:

9
0
10.

If angle 4 = 2x - 17 and angle 1 = 85, find x.
- A.
  
  85
- B.
  
  95
- C.
  
  56
Correct Answer
C. 56

Explanation
Since angle 1 is equal to 85 and angle 4 is equal to 2x - 17, we can set up an equation to solve for x. We have 2x - 17 = 85. Adding 17 to both sides gives us 2x = 102. Dividing both sides by 2 gives us x = 51. Therefore, the correct answer is 56.

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3
1
11.

Find y is angle 3 = 4y + 30 and angle 7 = 7y + 6.
- A.
  
  8
- B.
  
  24
- C.
  
  30
Correct Answer
A. 8

Explanation
The correct answer is 8 because angle 3 is equal to 4y + 30 and angle 7 is equal to 7y + 6. By substituting the value of angle 3 into angle 7, we get 4y + 30 = 7y + 6. Solving this equation, we find that y = 8. Therefore, angle 3 is equal to 4(8) + 30 = 62, which is the same as angle 7.

Rate this question:

3
1
12.
- A.
  
  104
- B.
  
  114
- C.
  
  94
Correct Answer
B. 114
13.
- A.
  
  110
- B.
  
  40
- C.
  
  70
Correct Answer
C. 70
14.

Find x
- A.
  
  40
- B.
  
  120
- C.
  
  105
Correct Answer
A. 40
15.

Find y
- A.
  
  50
- B.
  
  25
- C.
  
  105
- D.
  
  130
Correct Answer
A. 50