Download For each REGULAR polygon, find the SUM of the interior angles

Geometry WS
8.7 – Angles in Polygons
Name ____________________________________
Formula for the SUM of ALL INTERIOR
angles:
Formula for EACH INTERIOR angle (Regular
Polygon):
For each REGULAR polygon, find the SUM of the interior angles AND EACH interior angle.
1. Regular Nonagon
2.
3. Regular polygon with 50 sides
SUM of interior angles ___________
SUM of interior angles ___________
SUM of interior angles ___________
EACH interior angle ____________
EACH interior angle ____________
EACH interior angle ____________
Find the measure of A for each polygon. These are NOT REGULAR polygons!
4.
5.
# of sides:____ Sum of interior angles: _________
mA _______
# of sides:____ Sum of interior angles: _________
mA _______
Use the sum of the interior angles to work backwards and find the number of sides.
6. 900
7. 1800
Formula for the SUM of ALL EXTERIOR
angles:
Formula for EACH EXTERIOR angle (Regular
Polygon):
For each REGULAR polygon, find the SUM of the exterior angles AND EACH exterior angle.
8. Regular 16-sided polygon 9. Regular Octagon
10. Regular Decagon
SUM of exterior angles ___________
SUM of exterior angles ___________
SUM of exterior angles ___________
EACH exterior angle ____________
EACH exterior angle ____________
EACH exterior angle ____________
Write an equation and find the value of x. These are NOT REGULAR polygons!
11.
12.
Sum of exterior angles: _________
Equation:
x = _______
Given the measure of EACH EXTERIOR angle of a REGULAR polygon, work backwards to
find the number of sides.
13. 20
14. 72