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If the sum of the interior angles of a regular polygon measures 1440o, how many sides does the polygon have
- a)10 sides
- b)8 sides
- c)12 sides
- d)9 sides
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
If the sum of the interior angles of a regular polygon measures 1440o,...
Sum of all interior angles of a convex polygon = (n - 2)* 180
So, (n - 2) * 180 = 1440
n - 2 = 8
n = 10
Most Upvoted Answer
If the sum of the interior angles of a regular polygon measures 1440o,...
Understanding the Problem:
The problem states that the sum of the interior angles of a regular polygon is 1440 degrees. We need to determine the number of sides of this polygon.
Solution:
To find the number of sides in a regular polygon, we can use the formula for the sum of the interior angles of a polygon:
Sum of interior angles = (n - 2) * 180 degrees
Given that the sum of interior angles is 1440 degrees, we can set up the equation as follows:
1440 = (n - 2) * 180
Solving for n:
1440 = 180n - 360
1800 = 180n
n = 10
Answer:
Therefore, the polygon has 10 sides. Hence, option (a) is correct.
The problem states that the sum of the interior angles of a regular polygon is 1440 degrees. We need to determine the number of sides of this polygon.
Solution:
To find the number of sides in a regular polygon, we can use the formula for the sum of the interior angles of a polygon:
Sum of interior angles = (n - 2) * 180 degrees
Given that the sum of interior angles is 1440 degrees, we can set up the equation as follows:
1440 = (n - 2) * 180
Solving for n:
1440 = 180n - 360
1800 = 180n
n = 10
Answer:
Therefore, the polygon has 10 sides. Hence, option (a) is correct.
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If the sum of the interior angles of a regular polygon measures 1440o, how many sides does the polygon havea)10 sidesb)8 sidesc)12 sidesd)9 sidese)None of theseCorrect answer is option 'A'. Can you explain this answer?
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If the sum of the interior angles of a regular polygon measures 1440o, how many sides does the polygon havea)10 sidesb)8 sidesc)12 sidesd)9 sidese)None of theseCorrect answer is option 'A'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about If the sum of the interior angles of a regular polygon measures 1440o, how many sides does the polygon havea)10 sidesb)8 sidesc)12 sidesd)9 sidese)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the sum of the interior angles of a regular polygon measures 1440o, how many sides does the polygon havea)10 sidesb)8 sidesc)12 sidesd)9 sidese)None of theseCorrect answer is option 'A'. Can you explain this answer?.
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