GMAT Exam > GMAT Questions > If each interior angle of a regular polygon i...
Start Learning for Free
If each interior angle of a regular polygon is 150 degrees, then it is a/an ______________
- a)Octagon
- b)Dodecagon
- c)Decagon
- d)Tetrahedron
- e)none of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If each interior angle of a regular polygon is 150 degrees, then it is...
The sum of the exterior angle and interior angle of a regular polygon is 3600.
As the measure of each interior angle is 1500, the measure of each exterior angle will be 300.
The number of sides of a regular polygon is given by the following relationship n = 360/exterior angle
As the value of each exterior angle is 300, the number of sides = 12.
As the measure of each interior angle is 1500, the measure of each exterior angle will be 300.
The number of sides of a regular polygon is given by the following relationship n = 360/exterior angle
As the value of each exterior angle is 300, the number of sides = 12.
Most Upvoted Answer
If each interior angle of a regular polygon is 150 degrees, then it is...
Regular Polygon with 150° Interior Angles
Definition of Regular Polygon: A polygon is said to be regular if all its sides and angles are congruent.
Given that each interior angle of a regular polygon is 150 degrees.
Angle Sum of a Polygon: The sum of the interior angles of a polygon is given by the formula S = (n-2) x 180 degrees, where n is the number of sides of the polygon.
Using the formula, we can find the number of sides of the given polygon as follows:
S = (n-2) x 180
n = (S/180) + 2
n = (150/180) + 2
n = 5/6 + 2
n = 17/6
Since the number of sides of a polygon must be a whole number, the closest whole number to 17/6 is 3. Therefore, the given polygon is a 10-sided polygon, also known as a decagon.
Answer: b) Decagon
Definition of Regular Polygon: A polygon is said to be regular if all its sides and angles are congruent.
Given that each interior angle of a regular polygon is 150 degrees.
Angle Sum of a Polygon: The sum of the interior angles of a polygon is given by the formula S = (n-2) x 180 degrees, where n is the number of sides of the polygon.
Using the formula, we can find the number of sides of the given polygon as follows:
S = (n-2) x 180
n = (S/180) + 2
n = (150/180) + 2
n = 5/6 + 2
n = 17/6
Since the number of sides of a polygon must be a whole number, the closest whole number to 17/6 is 3. Therefore, the given polygon is a 10-sided polygon, also known as a decagon.
Answer: b) Decagon
|
Explore Courses for GMAT exam
|
|
Similar GMAT Doubts
Top Courses for GMATView all
If each interior angle of a regular polygon is 150 degrees, then it is a/an ______________a)Octagonb)Dodecagonc)Decagond)Tetrahedrone)none of theseCorrect answer is option 'B'. Can you explain this answer?
Question Description
If each interior angle of a regular polygon is 150 degrees, then it is a/an ______________a)Octagonb)Dodecagonc)Decagond)Tetrahedrone)none of theseCorrect answer is option 'B'. 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 each interior angle of a regular polygon is 150 degrees, then it is a/an ______________a)Octagonb)Dodecagonc)Decagond)Tetrahedrone)none of theseCorrect answer is option 'B'. 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 each interior angle of a regular polygon is 150 degrees, then it is a/an ______________a)Octagonb)Dodecagonc)Decagond)Tetrahedrone)none of theseCorrect answer is option 'B'. Can you explain this answer?.
If each interior angle of a regular polygon is 150 degrees, then it is a/an ______________a)Octagonb)Dodecagonc)Decagond)Tetrahedrone)none of theseCorrect answer is option 'B'. 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 each interior angle of a regular polygon is 150 degrees, then it is a/an ______________a)Octagonb)Dodecagonc)Decagond)Tetrahedrone)none of theseCorrect answer is option 'B'. 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 each interior angle of a regular polygon is 150 degrees, then it is a/an ______________a)Octagonb)Dodecagonc)Decagond)Tetrahedrone)none of theseCorrect answer is option 'B'. Can you explain this answer?.
Solutions for If each interior angle of a regular polygon is 150 degrees, then it is a/an ______________a)Octagonb)Dodecagonc)Decagond)Tetrahedrone)none of theseCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
Download more important topics, notes, lectures and mock test series for GMAT Exam by signing up for free.
Here you can find the meaning of If each interior angle of a regular polygon is 150 degrees, then it is a/an ______________a)Octagonb)Dodecagonc)Decagond)Tetrahedrone)none of theseCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
If each interior angle of a regular polygon is 150 degrees, then it is a/an ______________a)Octagonb)Dodecagonc)Decagond)Tetrahedrone)none of theseCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for If each interior angle of a regular polygon is 150 degrees, then it is a/an ______________a)Octagonb)Dodecagonc)Decagond)Tetrahedrone)none of theseCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of If each interior angle of a regular polygon is 150 degrees, then it is a/an ______________a)Octagonb)Dodecagonc)Decagond)Tetrahedrone)none of theseCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice If each interior angle of a regular polygon is 150 degrees, then it is a/an ______________a)Octagonb)Dodecagonc)Decagond)Tetrahedrone)none of theseCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice GMAT tests.
|
|
Explore Courses for GMAT exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup