what is the sum of the angles of a 7pointed star?

Question

please explain how u got the answer clearly!!!

thanx for thee help!!!!

what is the sum of the INTERIOR angles of a 7 point star???

Answer 1

180°

Yesterday it was asked about a 5-pointed star.

Well let us look at an n-pointed star

1. Draw the circumscribing circle

2. Join the vertices and create a regular n sides polygon inside the circumscribing circle

3. Join each vertex to the centre

4. Each point of the star is half the ange at the centree subtended on the same side.

5. Each angle in the centre is equal as they are all subtended by equal chords as the sides of a regular polygon are equal.

6. The sum of the angles at the centre of the circle = 360°

7 So the sum of the angles at the circumference
= sum of the angles of the star
= ½ of 360°
= 180°

BONUS
8 So each angle = 180°/n

If n = 5 each angle = 36°
If n = 7 each angle = (25 5/7)°

Answer 2

I'm thinking, is there a standard definition for the construction of a 7-pointed star, or any n-pointed star, for that matter. You can make the vertices close together or far apart, and have either a thin-looking pointed star or a fat-looking pointed star. It seems to me that each vertex angle can be anywhere from > 0º up to < 180º. That means that the sum of the internal angles (which I assume you mean the vertices only) of a 7-pointed star, can be anywhere from > 0º up to < 1260º (= 180 * 7).

Answer 3

that means theres 7 sides and the equation is 180(n-2) so substitute n for 7 and u get 180(7-2) so 180(5) which is 900

Answer 4

you need to be more specific about which angles you are talking about.