Defence Exam > Defence Questions > If each interior angle of a regular polygon i...
Start Learning for Free
If each interior angle of a regular polygon is 140°, then the number of vertices of the polygon is equal to
- a)10
- b)9
- c)8
- d)7
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
If each interior angle of a regular polygon is 140°, then the numb...
In a polygon, Exterior angle = 180° – Interior angle
⇒ Exterior angle = 180 – 140 = 40°
⇒ Exterior angle = 180 – 140 = 40°
Sum of exterior angles = Number of sides × Value of each exterior angle
⇒ 360 = n × 40 [ ∵ Sum of exterior angles of any polygon is 360°]
∴ Number of sides, n = 360/40 = 9
⇒ 360 = n × 40 [ ∵ Sum of exterior angles of any polygon is 360°]
∴ Number of sides, n = 360/40 = 9
Most Upvoted Answer
If each interior angle of a regular polygon is 140°, then the numb...
The sum of all angles of a polygon is equal to (n-2)*180, where n is the number of sides. For example, for 3-sided triangle, sum of all angles is (3-2)*180 which is 180, similarly for a quadrilateral, the sum is (4-2)*180 which is 360.
Now for a regular polygon where all the sides and angles are equal, every angle will be of the same value (n-2)*180/n. Here it is given that each angle equals 140. So, equate (n-2)*180/n with 140. Vaue of n will be 9.
Now for a regular polygon where all the sides and angles are equal, every angle will be of the same value (n-2)*180/n. Here it is given that each angle equals 140. So, equate (n-2)*180/n with 140. Vaue of n will be 9.
|
Explore Courses for Defence exam
|
|
Similar Defence Doubts
If each interior angle of a regular polygon is 140°, then the number of vertices of the polygon is equal toa)10b)9c)8d)7Correct answer is option 'B'. Can you explain this answer?
Question Description
If each interior angle of a regular polygon is 140°, then the number of vertices of the polygon is equal toa)10b)9c)8d)7Correct answer is option 'B'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about If each interior angle of a regular polygon is 140°, then the number of vertices of the polygon is equal toa)10b)9c)8d)7Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If each interior angle of a regular polygon is 140°, then the number of vertices of the polygon is equal toa)10b)9c)8d)7Correct answer is option 'B'. Can you explain this answer?.
If each interior angle of a regular polygon is 140°, then the number of vertices of the polygon is equal toa)10b)9c)8d)7Correct answer is option 'B'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about If each interior angle of a regular polygon is 140°, then the number of vertices of the polygon is equal toa)10b)9c)8d)7Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If each interior angle of a regular polygon is 140°, then the number of vertices of the polygon is equal toa)10b)9c)8d)7Correct answer is option 'B'. Can you explain this answer?.
Solutions for If each interior angle of a regular polygon is 140°, then the number of vertices of the polygon is equal toa)10b)9c)8d)7Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Defence.
Download more important topics, notes, lectures and mock test series for Defence Exam by signing up for free.
Here you can find the meaning of If each interior angle of a regular polygon is 140°, then the number of vertices of the polygon is equal toa)10b)9c)8d)7Correct 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 140°, then the number of vertices of the polygon is equal toa)10b)9c)8d)7Correct answer is option 'B'. Can you explain this answer?, a detailed solution for If each interior angle of a regular polygon is 140°, then the number of vertices of the polygon is equal toa)10b)9c)8d)7Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of If each interior angle of a regular polygon is 140°, then the number of vertices of the polygon is equal toa)10b)9c)8d)7Correct 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 140°, then the number of vertices of the polygon is equal toa)10b)9c)8d)7Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Defence tests.
|
|
Explore Courses for Defence 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
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup