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The sum of the interior angles of a polygon is 1444°. The number of sides of the polygon is (SSC CHSL 2014)
- a)6
- b)9
- c)10
- d)12
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The sum of the interior angles of a polygon is 1444°. The number o...
Sum of interior angles of polygon = (n – 2) × 180°
(n – 2) × 180° = 1440
n – 2 = 1440/180 = 8
n = 10
Hence, the number of sides is 10.
(n – 2) × 180° = 1440
n – 2 = 1440/180 = 8
n = 10
Hence, the number of sides is 10.
Most Upvoted Answer
The sum of the interior angles of a polygon is 1444°. The number o...
Sum of interior angles of polygon = (n – 2) × 180°
(n – 2) × 180° = 1440
n – 2 = 1440/180 = 8
n = 10
Hence, the number of sides is 10.
(n – 2) × 180° = 1440
n – 2 = 1440/180 = 8
n = 10
Hence, the number of sides is 10.
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Community Answer
The sum of the interior angles of a polygon is 1444°. The number o...
Understanding the Sum of Interior Angles
The sum of the interior angles of a polygon can be calculated using the formula:
- Sum of interior angles = (n - 2) × 180°
Here, "n" represents the number of sides of the polygon.
Given Data
- The sum of the interior angles is given as 1444°.
Setting Up the Equation
To find the number of sides (n), we set up the equation based on the formula:
- (n - 2) × 180° = 1444°
Solve for n
1. First, divide both sides by 180°:
- n - 2 = 1444° / 180°
- n - 2 = 8.0222...
2. Next, add 2 to both sides:
- n = 8.0222... + 2
- n ≈ 10.0222...
Since the number of sides must be a whole number, we round n to the nearest whole number, which is 10.
Conclusion
Thus, the number of sides of the polygon is:
- n = 10
Therefore, the correct answer is option 'C' (10 sides).
This calculation confirms that a polygon with a sum of interior angles equal to 1444° must have 10 sides.
The sum of the interior angles of a polygon can be calculated using the formula:
- Sum of interior angles = (n - 2) × 180°
Here, "n" represents the number of sides of the polygon.
Given Data
- The sum of the interior angles is given as 1444°.
Setting Up the Equation
To find the number of sides (n), we set up the equation based on the formula:
- (n - 2) × 180° = 1444°
Solve for n
1. First, divide both sides by 180°:
- n - 2 = 1444° / 180°
- n - 2 = 8.0222...
2. Next, add 2 to both sides:
- n = 8.0222... + 2
- n ≈ 10.0222...
Since the number of sides must be a whole number, we round n to the nearest whole number, which is 10.
Conclusion
Thus, the number of sides of the polygon is:
- n = 10
Therefore, the correct answer is option 'C' (10 sides).
This calculation confirms that a polygon with a sum of interior angles equal to 1444° must have 10 sides.
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The sum of the interior angles of a polygon is 1444°. The number of sides of the polygon is (SSC CHSL 2014)a)6b)9c)10d)12Correct answer is option 'C'. Can you explain this answer? for SSC CGL 2025 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about The sum of the interior angles of a polygon is 1444°. The number of sides of the polygon is (SSC CHSL 2014)a)6b)9c)10d)12Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC CGL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of the interior angles of a polygon is 1444°. The number of sides of the polygon is (SSC CHSL 2014)a)6b)9c)10d)12Correct answer is option 'C'. Can you explain this answer?.
The sum of the interior angles of a polygon is 1444°. The number of sides of the polygon is (SSC CHSL 2014)a)6b)9c)10d)12Correct answer is option 'C'. Can you explain this answer? for SSC CGL 2025 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about The sum of the interior angles of a polygon is 1444°. The number of sides of the polygon is (SSC CHSL 2014)a)6b)9c)10d)12Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC CGL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of the interior angles of a polygon is 1444°. The number of sides of the polygon is (SSC CHSL 2014)a)6b)9c)10d)12Correct answer is option 'C'. Can you explain this answer?.
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