Q:

I need help solving this step by step please.

Accepted Solution

A:
Answer: Yes, i believe that the generalization about the measure of a point angle of a star polygon is true.First we find sum of interior angle of an n-sided star polygon.number of triangle in a polygon = n - 2 sum of interior angle of a triangle = 180°sum of interior angle of an n-sided star polygon = ( n - 2 ) × 180°To find measure of a point angle, we use:[tex]\frac{|n-2(d)|}{n}[/tex] × 180°                                                             To find a point angle we eliminate density by multiplying d by 2  in the formula for finding number of triangle, divide the whole by total number of sides and then multiply by the sum of interior angle of triangle(180°).  Since all the angle of a regular star polygon are equal, we can calculate each pointy interior angle of a regular star polygon using the formula given below: [tex]\frac{|n-2(d)|}{n}[/tex] × 180°