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If the sum of the interior angles of a regular polygon be 1080°, the number of sides of the polygon is
- a)6
- b)8
- c)10
- d)12
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If the sum of the interior angles of a regular polygon be 1080°, t...
Given , The sum of the interior angles of a regular polygon = 1080°
Sum of the interior angles of a regular polygon of n sides = (2n – 4) × 90°
∴ (2n – 4) × 90° = 1080°
⇒ 2n – 4 = 1080 ÷ 90 = 12
⇒ 2n = 12 + 4 = 16
∴ n = 8
Sum of the interior angles of a regular polygon of n sides = (2n – 4) × 90°
∴ (2n – 4) × 90° = 1080°
⇒ 2n – 4 = 1080 ÷ 90 = 12
⇒ 2n = 12 + 4 = 16
∴ n = 8
Most Upvoted Answer
If the sum of the interior angles of a regular polygon be 1080°, t...
Explanation:
Given: Sum of interior angles of a regular polygon = 1080°
Formula: Sum of interior angles of a regular polygon = (n-2) * 180°, where n is the number of sides of the polygon.
Solving the equation:
(n-2) * 180° = 1080°
n - 2 = 1080° / 180°
n - 2 = 6
n = 6 + 2
n = 8
Therefore, the number of sides of the regular polygon is 8, which corresponds to option 'B'.
Given: Sum of interior angles of a regular polygon = 1080°
Formula: Sum of interior angles of a regular polygon = (n-2) * 180°, where n is the number of sides of the polygon.
Solving the equation:
(n-2) * 180° = 1080°
n - 2 = 1080° / 180°
n - 2 = 6
n = 6 + 2
n = 8
Therefore, the number of sides of the regular polygon is 8, which corresponds to option 'B'.
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If the sum of the interior angles of a regular polygon be 1080°, the number of sides of the polygon isa)6b)8c)10d)12Correct answer is option 'B'. 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 If the sum of the interior angles of a regular polygon be 1080°, the number of sides of the polygon isa)6b)8c)10d)12Correct answer is option 'B'. 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 If the sum of the interior angles of a regular polygon be 1080°, the number of sides of the polygon isa)6b)8c)10d)12Correct answer is option 'B'. Can you explain this answer?.
If the sum of the interior angles of a regular polygon be 1080°, the number of sides of the polygon isa)6b)8c)10d)12Correct answer is option 'B'. 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 If the sum of the interior angles of a regular polygon be 1080°, the number of sides of the polygon isa)6b)8c)10d)12Correct answer is option 'B'. 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 If the sum of the interior angles of a regular polygon be 1080°, the number of sides of the polygon isa)6b)8c)10d)12Correct answer is option 'B'. Can you explain this answer?.
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