Advertisements
Advertisements
Question
Find the number of sides in a regular polygon, when each exterior angle is: 20°
Solution
Each exterior angle
= `(360°)/"n"`
⇒ `(360°)/"n"` = 20°
⇒ n = 18.
APPEARS IN
RELATED QUESTIONS
The sum of the interior angles of a polygon is four times the sum of its exterior angles.
Find the number of sides in the polygon.
Find each exterior angle of a regular polygon of: 9 sides
Find each exterior angle of a regular polygon of: 15 sides
Find the number of sides in a regular polygon, when each interior angle is: 140°
Find the number of sides in a regular polygon, when each exterior angle is: 72°
The angles of a pentagon are 100°, 96°, 74°, 2x° and 3x°. Find the measures of the two angles 2x° and 3x°.
Is it possible to have a polygon whose each interior angle is 105°?
KL, LM and MN are three consecutive sides of a regular polygon. If ∠LKM = 20°, find the interior angle of the polygon and the number of sides of the polygon.
The sum of the interior angles of a polygon is 6.5 times the sum of its exterior angles. Find the number of sides of the polygon.
In a hexagon JKLMNO, side JK || ON and ∠K : ∠L : ∠M : ∠N = 6 : 5 : 4 : 3. Find the angle ∠K and ∠M.