Advertisements
Advertisements
Question
Is it possible to have a regular polygon whose each exterior angle is: 40° of a right angle.
Advertisements
Solution
Let the number of sides = n
Each exterior angle = 40% of a right angle
`= 40/100 xx 90`
= 36°
n = `360^circ/36^circ`
n = 10
Which is a whole number.
Hence it is possible to have a regular polygon whose exterior angle is 40% of the right angle.
APPEARS IN
RELATED QUESTIONS
Find the number of sides in a regular polygon, if its interior angle is: 160°
Find the number of sides in a regular polygon, if its interior angle is: 135°
Find the number of sides in a regular polygon, if its interior angle is: `1 1/5` of a right angle
Find the number of sides in a regular polygon, if its interior angle is equal to its exterior angle.
The ratio between the interior angle and the exterior angle of a regular polygon is 2: 1. Find:
(i) each exterior angle of the polygon ;
(ii) number of sides in the polygon.
In a regular pentagon ABCDE, draw a diagonal BE and then find the measure of:
(i) ∠BAE
(ii) ∠ABE
(iii) ∠BED
Find number of side in a regular polygon, if it exterior angle is: 36
Is it possible to have a regular polygon whose interior angle is: 155°
Is it possible to have a regular polygon whose exterior angle is: 100°
Which formula correctly represents the sum of interior angles of an n-sided polygon?
