if the sum of interior angles of a regular polygon is 1980 then how many vertices does that polygon have? plz answer fast
Answers
Answered by
2
Answer:
13
Step-by-step explanation:
Sum of interior angles
S
=
(
n
−
2
)
×
180
∘
,
where n is the number of sides of the polygon.
Given
S
=
1980
∘
⇒
1980
=
(
n
−
2
)
×
180
⇒
n
−
2
=
1980
180
=
11
⇒
n
=
11
+
2
=
13
Hence, the polygon has
13
sides.
Answered by
2
Hey mate, here is the answer to the question..... ☝☝
The sum of all the internal angles is 1980°
Let the no of vertices be v.
¶ [ v - 2 ] • 180° = 1980°
¶ [ v - 2 ] = 11
¶ v = 13.
Hence the polygon has 13 sides.
It is called Tridecagon.
Hope this helps you
PLZ MARK AS BRAINLIEST ☝☝
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