Vertical And Supplementary Angles

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Thatshimthatsthe

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Quizzes Created: 1 | Total Attempts: 863

Questions: 7 | Attempts: 867 | Updated: Mar 21, 2023

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Vertical And Supplementary Angles - Quiz

For those of you who love all things mathematics especially geometry that measures the inclination of angles then this is the quiz for you. If you are prepared to test your knowledge try it out.

Questions and Answers

1.

For the picture provided, which angle is a vertical angle for angle A?
- A.
  
  A
- B.
  
  B
- C.
  
  C
- D.
  
  None of the above
Correct Answer
C. C

Explanation
In the given picture, there are no angles that are directly opposite to angle A. Vertical angles are formed when two lines intersect, creating opposite angles. Since there are no intersecting lines or angles opposite to angle A, none of the given angles can be considered as vertical angles for angle A.

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0
1
2.

For the picture above, what is the measure of angle B?
- A.
  
  54 degrees
- B.
  
  44 degrees
- C.
  
  136 degrees
- D.
  
  180 degrees
Correct Answer
C. 136 degrees

Explanation
In the given picture, angle B is formed by the intersection of two lines. The measure of angle B can be determined by subtracting the sum of the other two angles (54 degrees and 44 degrees) from 180 degrees (the sum of all angles in a triangle). Therefore, angle B measures 136 degrees.

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3.

What is the measure of angle C?
- A.
  
  54 degrees
- B.
  
  44 degrees
- C.
  
  136 degrees
- D.
  
  180 degrees
Correct Answer
B. 44 degrees

Explanation
The measure of angle C is 44 degrees because it is the only option that is less than 90 degrees. In a triangle, the sum of the angles is always 180 degrees. Since angle C is less than 90 degrees, it must be an acute angle.

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1
0
4.

What is the measure of angle A?
- A.
  
  44 degrees
- B.
  
  54 degrees
- C.
  
  136 degrees
- D.
  
  180 degrees
Correct Answer
A. 44 degrees

Explanation
The measure of angle A is 44 degrees because it is the only option that is less than 90 degrees. In a triangle, the sum of all angles is 180 degrees. Since angle A is less than 90 degrees, it must be an acute angle.

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5.

For the picture abve angles A and B are:
- A.
  
  Complementary
- B.
  
  Supplementary
- C.
  
  Vertical
- D.
  
  Opposite
Correct Answer
B. Supplementary

Explanation
Angles A and B are supplementary because they add up to 180 degrees. In other words, when the measures of two angles add up to 180 degrees, they are called supplementary angles.

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6.

Vertical angles always have _____ measures
- A.
  
  Different
- B.
  
  Equal
- C.
  
  Supplementary
- D.
  
  Complementary
Correct Answer
B. Equal

Explanation
Vertical angles are formed when two lines intersect. These angles are opposite each other and share a common vertex. The property of vertical angles is that they always have equal measures. This means that if one vertical angle measures 60 degrees, the other vertical angle will also measure 60 degrees. Therefore, the correct answer is "equal".

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7.

Supplementary angles add up to _______
- A.
  
  90
- B.
  
  360
- C.
  
  45
- D.
  
  180
Correct Answer
D. 180

Explanation
Supplementary angles are a pair of angles that add up to 180 degrees. Therefore, the correct answer is 180.

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Vertical And Supplementary Angles

For the picture provided, which angle is a vertical angle for angle A?

For the picture above, what is the measure of angle B?

What is the measure of angle C?

What is the measure of angle A?

For the picture abve angles A and B are:

Vertical angles always have _____ measures

Supplementary angles add up to _______