Is it possible to have an exterior angle of a regular polygon 105 degree justify your answer also find the number of diagonal of hexago.
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Answer:
Formula for sum S of n interior angles of n sided polygon is
S=(n−2)×
180
˚
Since polygon is regular all its interior angles is same, sum of them is 135 degree times n
So we have S=
135n
˚
As per formula,
S=(n−2)×
180=
135n
˚
˚
180(n−2)=135n
180n−360=135n
45n=360
n=
45
360
=8
Number of sides is 8
Step-by-step explanation:
Hope it helped?
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