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What is the least number of 33° angles you would need to make a reflex angle?
- a)2
- b)5
- c)6
- d)7
Correct answer is option 'C'. Can you explain this answer?
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What is the least number of 33° angles you would need to make a re...
2 × 33° = 66°, which is between 0° and 90°, so acute.
5 × 33° = 165°, which is between 90° and 180°, so obtuse.
6 × 33° = 198°, which is between 180° and 360°, so reflex.
7 × 33° = 231°, which is also reflex, but we have already found the least amount which is 6.
5 × 33° = 165°, which is between 90° and 180°, so obtuse.
6 × 33° = 198°, which is between 180° and 360°, so reflex.
7 × 33° = 231°, which is also reflex, but we have already found the least amount which is 6.
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What is the least number of 33° angles you would need to make a re...
Understanding Reflex Angles
A reflex angle is an angle that measures more than 180 degrees but less than 360 degrees. To find out how many 33° angles are needed to create a reflex angle, we need to calculate how many times we can add 33° until we exceed 180°.
Calculating Total Degrees
1. Angle Sum: Each 33° angle will contribute to a total sum. We are looking for the least number of 33° angles that can give us a sum greater than 180°.
2. Finding the Number of Angles:
- If we use 5 angles: 5 x 33° = 165° (This is less than 180°)
- If we use 6 angles: 6 x 33° = 198° (This exceeds 180°)
So, we see that using 5 angles does not create a reflex angle, but using 6 angles does.
Conclusion
To create a reflex angle, you need at least 6 angles of 33°. Thus, the correct answer is option 'C'.
Key Points
- A reflex angle is greater than 180°.
- 5 angles of 33° total only 165° (not reflex).
- 6 angles of 33° total 198° (this is a reflex angle).
This understanding provides a clear rationale for why 6 is the minimum number of 33° angles required to create a reflex angle.
A reflex angle is an angle that measures more than 180 degrees but less than 360 degrees. To find out how many 33° angles are needed to create a reflex angle, we need to calculate how many times we can add 33° until we exceed 180°.
Calculating Total Degrees
1. Angle Sum: Each 33° angle will contribute to a total sum. We are looking for the least number of 33° angles that can give us a sum greater than 180°.
2. Finding the Number of Angles:
- If we use 5 angles: 5 x 33° = 165° (This is less than 180°)
- If we use 6 angles: 6 x 33° = 198° (This exceeds 180°)
So, we see that using 5 angles does not create a reflex angle, but using 6 angles does.
Conclusion
To create a reflex angle, you need at least 6 angles of 33°. Thus, the correct answer is option 'C'.
Key Points
- A reflex angle is greater than 180°.
- 5 angles of 33° total only 165° (not reflex).
- 6 angles of 33° total 198° (this is a reflex angle).
This understanding provides a clear rationale for why 6 is the minimum number of 33° angles required to create a reflex angle.
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What is the least number of 33° angles you would need to make a reflex angle?a)2b)5c)6d)7Correct answer is option 'C'. Can you explain this answer?
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What is the least number of 33° angles you would need to make a reflex angle?a)2b)5c)6d)7Correct answer is option 'C'. Can you explain this answer? for Class 5 2024 is part of Class 5 preparation. The Question and answers have been prepared according to the Class 5 exam syllabus. Information about What is the least number of 33° angles you would need to make a reflex angle?a)2b)5c)6d)7Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 5 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the least number of 33° angles you would need to make a reflex angle?a)2b)5c)6d)7Correct answer is option 'C'. Can you explain this answer?.
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