Advertisements
Advertisements
Question
Find the number of sides in a regular polygon, if its interior angle is equal to its exterior angle.
Advertisements
Solution
Let each exterior angle or interior angle be = x°
∴ x + x = 180°
2x = 180°
x = 90°
Now, let no. of sides = n
∵ each exterior angle = `360^circ/"n"`
∴ 90° = `360^circ/"n"`
n = `360^circ/90^circ`
n = 4
APPEARS IN
RELATED QUESTIONS
Is it possible to have a regular polygon whose each exterior angle is: 80°
The exterior angle of a regular polygon is one-third of its interior angle. Find the number of sides in the polygon.
The measure of each interior angle of a regular polygon is five times the measure of its exterior angle. Find :
(i) measure of each interior angle ;
(ii) measure of each exterior angle and
(iii) 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.
Calculate the number of sides of a regular polygon, if: the ratio between its exterior angle and interior angle is 2: 7.
The sum of interior angles of a regular polygon is thrice the sum of its exterior angles. Find the number of sides in the polygon.
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: 135°
Is it possible to have a regular polygon whose exterior angle is: 36°
What is the measure of each interior angle of a regular hexagon?
