How many sides does a regular polygon have, if each of its interior
angles is 145°?
Answers
Answered by
0
Answer:
number of sides in the given polygon is 24.
MARK BRAINLIEST
Answered by
1
Step-by-step explanation:
Given, a polygon whose each interior angles is 145
o
Sum of interior angles of a polygon is = 180
o
(n−2)
Each interior angle of a polygon =
n
180
o
(n−2)
n
180
o
(n−2)
=145
o
180
o
n−145
o
n=360
o
n=
35
360
n=
7
72
Since, n (number of sides) is not an integer, therefore it is not possible to exist a polygon whose each interior angles is 145
o
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