Question

The number of diagonals in a regular polygon, if each of its interior angle measures 157.5˚ is​
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Answer 1

Answer:

Since the polygon has 22 sides, we can substitute this number for n: (n 2)180˚= (22 2)180˚= 20180˚= 3600˚. Each angle of a regular polygon measures 157.5˚. How many sides does this n-gon have? b) If each interior angle is 157.5˚, then each exterior angle is 180˚157.5˚= 22.5˚.