+887 The number of diagonals in a certain regular polygon is equal to $2$ times the number of sides. How many sides does this polygon have?
+1365 Let's say there are x sides on the polygon.
The number of diagonals can be represented by \( x*(x-1)/2 - x \), meaning we can write the equation
\(2x = x*(x-1)/2 - x\).
Solving for this equation, we find that x = 7, which is a heptagon.
A heptagon has 7 sides and indeed has 14 diagonals!
Thanks! :)
