Draw a pentagon in a notebook and draw all the diagonals going out from some of its vertices.

Draw a pentagon in a notebook and draw all the diagonals going out from some of its vertices. How many triangles are there? What is the sum of the angles of a pentagon?

Let’s make a drawing, notice that 3 triangles are obtained. The general formula for finding the sum of the angles is 180 * (n-2), because we have a pentagon, so n = 5. We get 180 * (5-2) = 540 degrees.



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