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
Fill in the blanks :
In case of regular polygon, with :
| No.of.sides | Each exterior angle | Each interior angle |
| (i) ___8___ | _______ | ______ |
| (ii) ___12____ | _______ | ______ |
| (iii) _________ | _____72°_____ | ______ |
| (iv) _________ | _____45°_____ | ______ |
| (v) _________ | __________ | _____150°_____ |
| (vi) ________ | __________ | ______140°____ |
Find the number of sides in a regular polygon, if its exterior angle is: two-fifth of right angle
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 number of sides of two regular polygons is 3 : 4 and the ratio between the sum of their interior angles is 2 : 3. Find the number of sides in each polygon.
Calculate the number of sides of a regular polygon, if: its interior angle is five times its exterior angle.
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.
Is it possible to have a regular polygon whose interior angle is: 135°
If each interior angle of a regular polygon is 144°, what is its corresponding exterior angle?
What is the sum of all exterior angles of any regular polygon?
Which formula correctly represents the sum of interior angles of an n-sided polygon?
