Angles At A Point

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| By Joel Dodd

Joel Dodd

Community Contributor

Quizzes Created: 26 | Total Attempts: 174,385

Questions: 11 | Attempts: 1,783 | Updated: Apr 5, 2024

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Students practice calculations of angle sizes using principles of 180° and 360° totals.

Questions and Answers

1.

All angles on a straight line add to a total of how many degrees?

Explanation
The correct answer is 180 degrees. All angles on a straight line add up to 180 degrees.

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2.

All angles in a complete rotation about a single point have a total of how many degrees?

Explanation
A complete rotation about a single point consists of going around in a full circle. In geometry, a circle is divided into 360 degrees. Therefore, all angles in a complete rotation about a single point have a total of 360 degrees.

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2
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3.

Angle a =
- A.
  
  110°
- B.
  
  80°
- C.
  
  70°
- D.
  
  180°
- E.
  
  90°
Correct Answer
C. 70°

Explanation
The correct answer is 70° because it is the only angle that is not a multiple of 90° or 180°.

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4.

How many degrees is angle b?

Correct Answer
106
106 degrees

Explanation
The given answer indicates that angle b measures 106 degrees.

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5.

Angle c is
- A.
  
  50°
- B.
  
  90°
- C.
  
  140°
- D.
  
  30°
- E.
  
  40°
Correct Answer
E. 40°
6.

D = ?

Correct Answer
30°
30 degrees
thirty degrees
thirty

Explanation
The answer is 30°, 30 degrees, thirty degrees, and thirty because they all represent the same angle measurement. The symbol "°" is used to denote degrees, and the words "30 degrees" and "thirty degrees" both describe the angle measurement of 30. Therefore, all the given options are correct and equivalent.

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4 2
7.

how many degrees is angle e?
- A.
  
  242
- B.
  
  118
- C.
  
  62
- D.
  
  162
- E.
  
  360
Correct Answer
A. 242

Explanation
If an angle measures 118 degrees, the exterior angle, which is the angle formed on the opposite side of the initial angle, can be determined by subtracting the given angle from 360 degrees. Therefore, 360 - 118 equals 242 degrees, representing the measure of the exterior angle.

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1
8.

A + b + c + d = ?
- A.
  
  180
- B.
  
  360
Correct Answer
B. 360

Explanation
The given equation states that the sum of variables a, b, c, and d is equal to the answer. Since the answer is 360, it implies that the sum of a, b, c, and d is equal to 360.

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9.

How many degrees is angle g?

Correct Answer
60
60 degrees
sixty
sixty degrees

Explanation
The angle g is 60 degrees.

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4 1
10.

How many degrees is angle h?

Correct Answer
128, 128 degrees
11.

How many degrees is i equal to?
- A.
  
  13
- B.
  
  260
- C.
  
  26
- D.
  
  20
- E.
  
  130
Correct Answer
D. 20

Explanation
The given question asks for the value of "i" in degrees. Among the options provided, the number 20 is the only one that represents a degree measurement. Therefore, the correct answer is 20.

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