PLEASE HELP FAST AND EXPLAIN || Find the number of sides of a regular polygon, if the exterior angle is twice its interior angle
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Answer :
- Number of sides is 3
Given that :
- Exterior angle is twice its interior angle
To find :
- Number of sides of a regular polygon
Solution :
- Let the exterior angle be 2x
- Let the interior angle be x
We know that,
- Sum of all angles in a triangle is equal to 180⁰
➞ 2x + x = 180⁰
➞ 3x = 180⁰
➞ x = 180/3
➞ x = 60
- Interior angle is 60⁰
- Exterior angle = 2x = 2(60) = 120⁰
Now , Finding the number of sides of a regular polygon :
We know that,
- Exterior angle = 360⁰/n
➞ 360/120
➞ 3 sides
Hence, Number of sides is 3
Verification :
➞ 360/3
➞ 120
Hence,Verified
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