Pls help me!! I need to finish this
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Given:
The interior angle of a regular polygon is 132 degrees.
To find:
The given statement is possible or not.
Solution:
Let as assume the interior angle of a regular polygon with n vertices is 132 degrees.
Then, the exterior angles are
We have, n vertices. So, the number of exterior angles is n.
Sum of all exterior angles = 48n degrees
We know that, sum of all exterior angles of a regular polygon is always 360 degrees.
Number of vertices is always a whole number. So, it cannot be a fraction value.
So, our assumption is wrong.
Therefore, a regular polygon cannot have an interior angle of 132 degrees.