Sum of the interior angles of a polygon
Investigate the relationship between the number of sides a polygon has and the sum of its interior angles.
Sum of the interior angles for quadrilaterals
1. What is the sum of the interior angles for quadrilaterals?
It will always be 360.[br]It is equal to ([i]n[/i] – 2) • 180, when [i]n[/i] = the number of sides.
Sum of the interior angles for pentagons.
2. What is the sum of the interior angles for any pentagon?
It will always be 540˚.[br]It is equal to ([i]n[/i] – 2) • 180˚, when [i]n[/i] = the number of sides
Sum of the interior angles for an n-gon.
3. What is the algebraic expression that represents the sum of the interior angles of a polygon that has [i][b]n[/b][/i] sides?
(n – 2) • 180˚[br][br]n = the number of sides.
4. What is the sum of the interior angles of a dodecagon?
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