Download Name: 4-6 HW Geometry Period ______ Date ______ Directions

Name:
Geometry Period _______
4-6 HW
Date ________
Directions: For each, choose a question either from the left or right column. Each column helps you practice the same
content, but the right column allows you to challenge yourself.
1) Carlotta is designing a garden for her backyard. She
wants a flower bed shaped like a regular octagon.
Find the sum of the measures of the interior angles of
the octagon.
1)
Find the measure of each interior angle:
2) The measure of an interior angle of a regular polygon
is 140°. Find the number of sides in the polygon.
2) The measure of an interior angle of a regular polygon
1
is 157 o. Find the number of sides in the polygon.
3) The pentagon building in Washington DC was
designed to resemble a regular pentagon. Find the
measure of an interior angle.
3) Find an expression to represent the sum of the
measures of the interior angles of the following
convex polygon:
2
4𝑥 − 𝑔𝑜𝑛 (as opposed to a 29-gon that has 29 sides)
4) What is the measure, in degrees, of each exterior
angle of a regular hexagon?
4) What is the measure, in degrees, of each exterior
angle of a regular n-sided figure?
5) What is the measure of the sum of the exterior
angles of a dodecagon (12 sides)?
5) What is the sum of the exterior angles of a polygon
with 5,128 sides?
6) The measure of each exterior angle of a regular
polygon is 60. How many sides does the polygon
have? What is the name of the polygon?
6) Jack says the measure of each exterior angle of a
regular polygon is 75. Jill says that isn’t possible.
Who is right? Explain.
Challenge: James and Nicole were asked to find the measure of a single angle in a regular polygon on a test.
James used the formula
a=
180(𝑛−2)
𝑛
, while Nicole first found the exterior angle and then founds it’s
supplement. Do James, Nicole, or both get the question right? How do you know?