The sum of angles of a polygon is 3780º.What is the sum of
angles of a polygon with
i)One more side
ii) One less side
iii)Two more sides
iv)Two less sides.
Answers
Answered by
0
two more sides please mark me brainliest please please please please please please please please please please
Answered by
0
Step-by-step explanation:
make it. The basis for the names are the Greek prefixes to denote the number of sides.
Answer and Explanation:
The sum of the interior angles of a polygon is given by the formula below where
n
is the number of sides:
Sum of Interior Angles
=
(
n
−
2
)
180
∘
So if there are
3
,
780
∘
as the sum of the interior angles then the number of sides,
n
can be solved for by substituting the given value in the formula above such that:
Sum of Interior Angles
=
(
n
−
2
)
180
∘
3
,
780
∘
=
(
n
−
2
)
180
∘
3
,
780
∘
=
180
∘
n
−
360
∘
3
,
780
∘
+
360
∘
=
180
∘
n
180
∘
n
=
4
,
140
∘
180
∘
n
180
∘
=
4
,
140
∘
180
∘
n
=
23
The polygon has
23
s
i
d
e
s
also known as an icosikaitraigon.
Similar questions