Many great artists and painters from history knew and used geometry to create masterpieces. Understanding the principles of mathematics makes it easier to draw or build well-proportioned objects. To draw a perfect five-pointed star, you must start with a circle and divide the 360 degrees of the circle by five, which equals 72. This method allows you form all sides of your star evenly.
Mark a simple cross and draw a circle with weak pencil lines, using your compass at the middle point of the cross.
Using your protractor, mark an angle of 72 degrees from the top vertical line, to the right.
From that mark, measure another 72 degrees and mark it. Continue this, until to get back round to your starting point.
Draw a series of lines to form two triangles. Draw the first line from the top of the vertical line down to the marked points in the bottom left and right corners of the circle. The second goes from the marked point at the top left of the circle, to the marked points at the bottom right corner of the circle and the point at the top right corner.
Draw a line from the marked point at the top right of the circle, down to the point at the bottom left of the circle.
Finish your star by erasing the excess lines and the circle, leaving you with perfect five-pointed star.