Real Life Parallel Lines And Transversals

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?
- 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
3.
- 138
- 48
- 142
Correct Answer

A. 48
4.
- 110, 70
- 180, 70
- 70, 70
- 70, 110
Correct Answer

A. 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?
- 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.

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8
6.

Find the value of x.
- 180
- 50
- 130
Correct Answer

A. 130
7.

Find the value of x.
- 115
- 65
- 180
Correct Answer

A. 115
8.

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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8
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?
- 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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10
10.

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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3
11.

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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3
12.
- 104
- 114
- 94
Correct Answer

A. 114
13.
- 110
- 40
- 70
Correct Answer

A. 70
14.

Find x
- 40
- 120
- 105
Correct Answer

A. 40
15.

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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14

Real Life Parallel Lines And Transversals

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

Quiz Preview

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?

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

Find the value of x.

Find the value of x.

Find x.

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?

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

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

Find x

Find y