Question

I need help solving this step by step please.

Answer 1

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:

`(|n-2(d)|)/(n)` × 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:

`(|n-2(d)|)/(n)` × 180°