What is the measure of each of the angles of a regular 5 sided polygon?
The sum of interior angles in a triangle add up to 180°.
A regular 5 sided polygon can be divided into three triangles.
So the sum of its interior angles is three times that.
There are five interior angles. Thus when the polygon is regular, each interior angle is ____
That would be 540, correct
To find the measure of each angle in a regular polygon, you can use the formula:
Angle = (n-2) * 180 / n,
where "n" represents the number of sides of the polygon. In this case, the polygon has 5 sides, so plugging the value into the formula:
Angle = (5-2) * 180 / 5,
Angle = 3 * 180 / 5,
Angle = 540 / 5,
Angle = 108.
Therefore, each angle in a regular 5-sided polygon (pentagon) measures 108 degrees.