all the angles of an 18 sided polygon are equal. Find each exterior and interior angles
Answers
Answered by
1
Answer:
160°
Step-by-step explanation:
An alternative method is to use the exterior angle.
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the sum of the exterior angles is ALWAYS
360
°
So you can find the size of the exterior angles of a regular polygon quite easily:
If there are
18
sides
(
n
=
18
)
, then each exterior angle is:
360
°
n
=
360
°
18
=
20
°
The sum of the exterior and interior angles is
180
°
because they are adjacent angles on a straight line.
∴
each interior angle is
180
°
−
20
°
=
160
°
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