Advertisements
Advertisements
Question
Is it possible to have a regular polygon whose each exterior angle is: 80°
Advertisements
Solution
Let no. of sides = n each exterior angle = 80°
`360^circ/"n" = 80^circ`
`"n" = 360^circ/80^circ`
n = `9/2`
Which is not a whole number.
Hence it is not possible to have a regular polygon whose each exterior angle is of 80°
APPEARS IN
RELATED QUESTIONS
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 exterior angle is: two-fifth 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 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 exterior angle and the interior angle of a regular polygon is 1 : 4. Find the number of sides in the polygon.
AB, BC and CD are three consecutive sides of a regular polygon. If angle BAC = 20° ; find :
(i) its each interior angle,
(ii) its each exterior angle
(iii) the 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.
Three of the exterior angles of a hexagon are 40°, 51 ° and 86°. If each of the remaining exterior angles is x°, find the value of x.
Calculate the number of sides of a regular polygon, if: its exterior angle exceeds its interior angle by 60°.
Find a number of side in a regular polygon, if it exterior angle is: 30°.
