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If the sum of the measures of all the interior angles of polygon is 1080°, find the number of sides of the polygon?
- a)8
- b)12
- c)9
- d)14
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
If the sum of the measures of all the interior angles of polygon is 10...
We know that sum of the interior angles of a polygon of n sides = 180 (n - 2)
Given that sum of the measures of all the interior angles = 1080°
⇒ 180(n – 2) = 1080
⇒ n – 2 = 6
⇒ n = 8
Given that sum of the measures of all the interior angles = 1080°
⇒ 180(n – 2) = 1080
⇒ n – 2 = 6
⇒ n = 8
Most Upvoted Answer
If the sum of the measures of all the interior angles of polygon is 10...
If we have an n-sided polygon, then the sum of the measures of all its interior angles is given by the formula:
Sum = (n - 2) * 180
We are given that the sum is 1080, so we can set up the equation:
1080 = (n - 2) * 180
To solve for n, we can divide both sides by 180:
6 = n - 2
Adding 2 to both sides, we get:
n = 8
Therefore, the polygon has 8 sides.
Sum = (n - 2) * 180
We are given that the sum is 1080, so we can set up the equation:
1080 = (n - 2) * 180
To solve for n, we can divide both sides by 180:
6 = n - 2
Adding 2 to both sides, we get:
n = 8
Therefore, the polygon has 8 sides.
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If the sum of the measures of all the interior angles of polygon is 1080°, find the number of sides of the polygon?a)8b)12c)9d)14Correct answer is option 'A'. Can you explain this answer?
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If the sum of the measures of all the interior angles of polygon is 1080°, find the number of sides of the polygon?a)8b)12c)9d)14Correct answer is option 'A'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about If the sum of the measures of all the interior angles of polygon is 1080°, find the number of sides of the polygon?a)8b)12c)9d)14Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the sum of the measures of all the interior angles of polygon is 1080°, find the number of sides of the polygon?a)8b)12c)9d)14Correct answer is option 'A'. Can you explain this answer?.
If the sum of the measures of all the interior angles of polygon is 1080°, find the number of sides of the polygon?a)8b)12c)9d)14Correct answer is option 'A'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about If the sum of the measures of all the interior angles of polygon is 1080°, find the number of sides of the polygon?a)8b)12c)9d)14Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the sum of the measures of all the interior angles of polygon is 1080°, find the number of sides of the polygon?a)8b)12c)9d)14Correct answer is option 'A'. Can you explain this answer?.
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