Advertisements
Advertisements
Question
Calculate the number of sides of a regular polygon, if: its exterior angle exceeds its interior angle by 60°.
Advertisements
Solution
Let interior angle = x
Then exterior angle = x + 60
∴ x + x + 60° = 180°
⇒ 2x = 180° - 60° = 120°
⇒ x = `(120°)/2 = 60°`
∴ Exterior angle = 60° + 60° = 120°
∴ Number of sides = `(360°)/(120°) = 3`
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 exterior angle is : `1/3` of right angle
The exterior angle of a regular polygon is one-third of its interior angle. Find the number of sides in the polygon.
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.
Two alternate sides of a regular polygon, when produced, meet at the right angle. Calculate the number of sides in the polygon.
The difference between the exterior angles of two regular polygons, having the sides equal to (n – 1) and (n + 1) is 9°. Find the value of n.
Find the number of sides in a regular polygon, if its interior angle is: 150°
Find number of side in a regular polygon, if it exterior angle is: 36
Is it possible to have a regular polygon whose exterior angle is: 36°
Which formula correctly represents the sum of interior angles of an n-sided polygon?
