Lesson 3-2 Angles And Parallel Lines Video Quiz

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| By Philip Benanti

Philip Benanti

Community Contributor

Quizzes Created: 18 | Total Attempts: 30,090

Questions: 5 | Attempts: 237 | Updated: Mar 21, 2023

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Questions and Answers

1.

In the figure, a || b and m18 = 42. Find m22.
- A.
  
  42
- B.
  
  84
- C.
  
  48
- D.
  
  138
Correct Answer
A. 42

Explanation
Since a || b, we can conclude that the angle formed by m18 is equal to the angle formed by m22. Therefore, m22 must also be equal to 42.

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2.

In the figure, a || b and m18 = 42. Find m25.
- A.
  
  42
- B.
  
  84
- C.
  
  48
- D.
  
  138
Correct Answer
A. 42

Explanation
Since a and b are parallel lines, the alternate interior angles are congruent. Therefore, m18 and m25 are congruent. Given that m18 is 42, it follows that m25 is also 42.

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3.

FLOOR TILES The diagram represents the floor tiles in Michelle’s house. If m2 = 125, find m4.
- A.
  
  25
- B.
  
  55
- C.
  
  70
- D.
  
  125
Correct Answer
B. 55

Explanation
Since the area of each tile is represented by m2, and it is given that m2 = 125, we can conclude that each tile has an area of 125 square units. Therefore, the area of four tiles, represented by m4, would be 4 times the area of one tile, which is 125. Therefore, m4 = 4 * 125 = 500. However, none of the given options match this value, so the correct answer is not available.

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4.

If m1 = 9x + 6, m2 = 2(5x – 3), and m3 = 5y + 14, find x.
- A.
  
  X = 9
- B.
  
  X = 12
- C.
  
  X = 10
- D.
  
  X = 14
Correct Answer
B. X = 12

Explanation
To find the value of x, we need to equate m1, m2, and m3. From the given equations, we have:
9x + 6 = 2(5x - 3)
Expanding the brackets:
9x + 6 = 10x - 6
Rearranging the equation:
9x - 10x = -6 - 6
Simplifying:
-x = -12
Multiplying both sides by -1 to isolate x:
x = 12
Therefore, the correct answer is x = 12.

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5.

If m1 = 9x + 6, m2 = 2(5x – 3), and m3 = 5y + 14, find y.
- A.
  
  Y = 14
- B.
  
  Y = 20
- C.
  
  Y = 16
- D.
  
  Y = 24
Correct Answer
B. Y = 20

Explanation
To find the value of y, we need to equate m3 to 20. Given that m3 = 5y + 14, we can set up the equation 5y + 14 = 20. Solving for y, we subtract 14 from both sides to get 5y = 6. Dividing both sides by 5, we find that y = 20.

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Current Version
Mar 21, 2023

Quiz Edited by
ProProfs Editorial Team
Oct 15, 2014

Quiz Created by
Philip Benanti

Lesson 3-2 Angles And Parallel Lines Video Quiz

In the figure, a || b and m18 = 42. Find m22.

In the figure, a || b and m18 = 42. Find m25.

FLOOR TILES The diagram represents the floor tiles in Michelle’s house. If m2 = 125, find m4.

If m1 = 9x + 6, m2 = 2(5x – 3), and m3 = 5y + 14, find x.

If m1 = 9x + 6, m2 = 2(5x – 3), and m3 = 5y + 14, find y.