Real Life Parallel Lines And Transversals

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| By Tjkim
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Quizzes Created: 25 | Total Attempts: 79,003
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  • 1/15 Questions
    The photo shows a portion of the St. Petersburg-Clearwater International Airport. What is the relationship between angle 3 and angle 6?  - ProProfs

    The photo shows a portion of the St. Petersburg-Clearwater International Airport. What is the relationship between angle 3 and angle 6? 

    • Alternate exterior angles
    • Alternate interior angles
    • Same-side interior angles
    • Corresponding angles
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About This Quiz

Explore real-world applications of geometry with this quiz on parallel lines and transversals. Questions assess understanding of angle relationships and measures in various practical contexts, such as airport layouts and parking designs, enhancing spatial reasoning skills.

Real Life Parallel Lines And Transversals - Quiz

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  • 2. 
    The pained lines that separate parking spaces are parallel. The measure of angle 1 is 60 degrees. What is the measure of angle 2?  - ProProfs

    The pained lines that separate parking spaces are parallel. The measure of angle 1 is 60 degrees. What is the measure of angle 2? 

    • 60

    • 180

    • 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.

    Rate this question:

  • 3. 
    Find the value of x.  - ProProfs

    Find the value of x. 

    • 115

    • 65

    • 180

    Correct Answer
    A. 115
  • 4. 
    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?  - ProProfs

    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? 

    • 118

    • 62

    • 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.

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  • 5. 
    Find x. - ProProfs

    Find x.

    • 116

    • 64

    • 58

    Correct Answer
    A. 64
    Explanation
    The image shows the reflection angles of a ball bouncing off the walls of a rectangular table. The given angles are:
    64° where the ball hits the side wall.
    58° at another point.
    Using the property of angles of incidence and reflection, we know that these angles should be equal at each bounce if it is a perfect reflection.
    Therefore, at the point marked x, the angle should be equal to the angle at the previous bounce.
    From the given angles, it is clear that the angle x must be equal to 64° because it follows the same line of incidence and reflection from the previous bounce point.
    So, the value of x is 64°.

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  • 6. 
    - ProProfs

    • 138

    • 48

    • 142

    Correct Answer
    A. 48
  • 7. 
    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? - ProProfs

    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?

    • 180

    • 80

    • 100

    • 160

    Correct Answer
    A. 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).

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  • 8. 
    - ProProfs

    • 110, 70

    • 180, 70

    • 70, 70

    • 70, 110

    Correct Answer
    A. 70, 110
  • 9. 
    Find x - ProProfs

    Find x

    • 40

    • 120

    • 105

    Correct Answer
    A. 40
  • 10. 
    Find y is angle 3 = 4y + 30 and angle 7 = 7y + 6.  - ProProfs

    Find y is angle 3 = 4y + 30 and angle 7 = 7y + 6. 

    • 8

    • 24

    • 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.

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  • 11. 
    - ProProfs

    • 104

    • 114

    • 94

    Correct Answer
    A. 114
  • 12. 
    If angle 4 = 2x - 17 and angle 1 = 85, find x.  - ProProfs

    If angle 4 = 2x - 17 and angle 1 = 85, find x. 

    • 85

    • 95

    • 56

    Correct Answer
    A. 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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  • 13. 
    - ProProfs

    • 110

    • 40

    • 70

    Correct Answer
    A. 70
  • 14. 
    Find the value of x.  - ProProfs

    Find the value of x. 

    • 180

    • 50

    • 130

    Correct Answer
    A. 130
  • 15. 
    Find y - ProProfs

    Find y

    • 50

    • 25

    • 105

    • 130

    Correct Answer
    A. 50
    Explanation
    1. Identify the relationship between the angles:
    The angles (3x - 15)° and (y + 25)° are corresponding angles. Corresponding angles are formed when a transversal line intersects two parallel lines. They are located in the same relative position at each intersection.  
    2. Use the property of corresponding angles:
    When a transversal intersects two parallel lines, corresponding angles are congruent (equal). Therefore:
    3x - 15 = y + 25
    3. Find the value of x:
    The angle marked 105° and the angle (3x - 15)° are supplementary angles. Supplementary angles add up to 180°. Therefore:
    105 + (3x - 15) = 180 3x + 90 = 180 3x = 90 x = 30
    4. Substitute the value of x to find y:
    3(30) - 15 = y + 25 90 - 15 = y + 25 75 = y + 25 y = 50
    Therefore, the value of y is 50.

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Quiz Review Timeline (Updated): Jan 13, 2025 +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

  • Current Version
  • Jan 13, 2025
    Quiz Edited by
    ProProfs Editorial Team
  • Oct 29, 2012
    Quiz Created by
    Tjkim
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