SOLUTION: What is the sum of the angles of the points of a star?

Question 26294: What is the sum of the angles of the points of a star?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The central part of the star is a regular pentagon.
The sum of the angles of the pentagon is (5-2)(180)=3(180)=540 degrees
Each of the angles of the pentagon is 540/5=108 degrees
Each base angle of the point-triangles is a supplement or 72 degrees.
So the two base angles of each point-triangle add to 144 degrees.
That leaves 180-142=38 degrees for each point angle.
The sum of the 5 point angles is 5(38)=190 degrees.
Cheers,
stan H.
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