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Activity 31 Practice
Name: __________________________________
For questions 1-4, solve for the variable.
Date: ___________________
5) Indicate the measure of each interior
angle of each regular polygon.
1)
a) 11-gon
b) octagon
2)
c) 24-gon
6) Classify each polygon, given the sum of
the measures of its interior angles.
a) 2700°
b) 4680°
3) What is the value of x?
c) 1620°
7) Classify each regular polygon, given
the measure of each interior angle.
a) 150°
b) 144°
c) 156°
4) Indicate the sum of the measures of
the interior angles of each convex
polygon.
8) Classify each regular polygon, given
the measure of each exterior angle.
a) 11-gon
a) 120°
b) octagon
b) 40°
c) 24-gon
9) What is the measure of each interior
angle in the polygon shown?
d) heptagon
Activity 31 Practice
Name: __________________________________
10) What is the difference in the sum of
the exterior angle measures of a regular
nonagon and a regular dodecagon?
Date: ___________________
14) In Mr. Berg’s math class, students
made a “polygon path” that consists of
regular polygons of 3, 4, 5, and 6 sides
joined together as shown.
11) The sum of the interior angles of a
polygon is equal to three times the sum of
its exterior angles. How many sides does
the polygon have?
a) What is 𝑚∠1?
b) What is 𝑚∠2?
12) If the sum of the interior angles of a
regular polygon equals 720°, and the
length of one side of the polygon is 3x2,
what is the perimeter of the polygon in
terms of x?
c) What is 𝑚∠3?
d) What is 𝑚∠4?
e) What is 𝑚∠5?
15) Find all possible values for x.
13) Heather draws two regular pentagons.
Which of the following is NOT always true?
a) The two regular pentagons are
similar.
b) The two regular pentagons are
congruent.
c) The sum of the interior angles of
each pentagon is 540°.
d) The sum of the exterior angles of
each pentagon is 360°.
16)