if the polygon has interior 162° .then how many sides the polygon has.. please say me step by step About the author Claire
[tex]\underline{\bf{Explanation\::}} [/tex] To find an interior angle of a polygon Let n = number of sides and A = angle (n-2)•180/n = A Substitute A = 162 (n-2)•180/n = 162 Solve for n n = 20 => 20 sides polygon Reply
Step-by-step explanation: If all interior angles are 162 , polygon has 20 sides. Explanation: Questioner has mentioned that a polygon has interior angles of 162 . It is assumed from this that all interior angles are 162 . As interior angles are 162 , each exterior angle is 180 − 162 = 18 Sum of all the exterior angles of a polygon is always 360 and as each exterior angle is 18 Number of angles / sides of polygon are 360 o 18 o = 20 HOPEFULLY YOU LIKE THE ANSWER Reply
[tex]\underline{\bf{Explanation\::}} [/tex]
To find an interior angle of a polygon
Let n = number of sides and A = angle
(n-2)•180/n = A
Substitute A = 162
(n-2)•180/n = 162
Solve for n
n = 20 => 20 sides polygon
Step-by-step explanation:
If all interior angles are
162
, polygon has
20
sides.
Explanation:
Questioner has mentioned that a polygon has interior angles of
162
. It is assumed from this that all interior angles are
162
.
As interior angles are
162
, each exterior angle is
180
−
162
=
18
Sum of all the exterior angles of a polygon is always
360
and as each exterior angle is
18
Number of angles / sides of polygon are
360
o
18
o
=
20
HOPEFULLY YOU LIKE THE ANSWER