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Each interior angle of a regular polygon is 150°. The number of sides is
- a)12
- b)10
- c)9
- d)8
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Each interior angle of a regular polygon is 150°. The number of si...
From the given data
Each interior angle = 150°
∴ Exterior angle = 180° - 150° = 30°
⇒ Number of sides = 360°/exterior angle = 360°/30° = 12
Each interior angle = 150°
∴ Exterior angle = 180° - 150° = 30°
⇒ Number of sides = 360°/exterior angle = 360°/30° = 12
Most Upvoted Answer
Each interior angle of a regular polygon is 150°. The number of si...
If each interior angle of a regular polygon is 150 degrees, then we can use the formula for the sum of the interior angles of a polygon to find the number of sides.
The formula for the sum of the interior angles of a polygon is given by:
Sum of interior angles = (n - 2) * 180 degrees
Where n is the number of sides of the polygon.
Since each interior angle is 150 degrees, we can substitute this value into the formula:
150n = (n - 2) * 180
Expanding the right side of the equation:
150n = 180n - 360
Moving all terms involving n to one side of the equation:
180n - 150n = 360
Simplifying the equation:
30n = 360
Dividing both sides of the equation by 30:
n = 12
Therefore, the regular polygon has 12 sides.
The formula for the sum of the interior angles of a polygon is given by:
Sum of interior angles = (n - 2) * 180 degrees
Where n is the number of sides of the polygon.
Since each interior angle is 150 degrees, we can substitute this value into the formula:
150n = (n - 2) * 180
Expanding the right side of the equation:
150n = 180n - 360
Moving all terms involving n to one side of the equation:
180n - 150n = 360
Simplifying the equation:
30n = 360
Dividing both sides of the equation by 30:
n = 12
Therefore, the regular polygon has 12 sides.
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Each interior angle of a regular polygon is 150°. The number of sides isa)12b)10c)9d)8Correct answer is option 'A'. Can you explain this answer?
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Each interior angle of a regular polygon is 150°. The number of sides isa)12b)10c)9d)8Correct 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 Each interior angle of a regular polygon is 150°. The number of sides isa)12b)10c)9d)8Correct 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 Each interior angle of a regular polygon is 150°. The number of sides isa)12b)10c)9d)8Correct answer is option 'A'. Can you explain this answer?.
Each interior angle of a regular polygon is 150°. The number of sides isa)12b)10c)9d)8Correct 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 Each interior angle of a regular polygon is 150°. The number of sides isa)12b)10c)9d)8Correct 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 Each interior angle of a regular polygon is 150°. The number of sides isa)12b)10c)9d)8Correct answer is option 'A'. Can you explain this answer?.
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