7. Is it possible to have an exterior angle of a regular polygon 105°? Justify your answer. Also find the number of diagonals of a hexagon.
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Answer:
(a)
Exterior angle =22
∘
360
∘
is not perfect multiple of 22
∘
.
It is not possible to have such polygon.
(b)
Interior angle =22
∘
Exterior angle =180−22=158
∘
158
∘
is not perfect multiple of 360
∘
.
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