1. The Polygon Angle-Sum Theorem is the sum of the measures of the interior angles of a n-gon.
*Write a formula that finds the sum of the interior angles where n=the number of sides.
2. The Corollary to the Polygon Angle-Sum Theorem finds the measure of each interior angle of a regular n-gon.
*Write a formula to find the measure of each interior angle using n=number of sides.
3. The Polygon Exterior Angle-Sum Theorem states that the exterior angles of any polygon add up to 360 degrees.
*Write a formula that can help you find the measure of each individual exterior angle in any polygon. Use n for the number of sides.
What are the answers? Thanku
1. Sum of Interior Angles = (n-2) * 180°
2. Measure of each Interior Angle = (180° * (n-2)) / n
3. Measure of each Exterior Angle = 360° / n
1. Formula for the sum of interior angles of a polygon (n-gon):
Sum = (n - 2) * 180 degrees
2. Formula for each interior angle of a regular n-gon:
Angle = Sum / n
3. Formula for the measure of each exterior angle in any polygon:
Exterior Angle = 360 degrees / n