Download Geometry Practice: Interior and Exterior Angles of Other Polygons

Geometry Practice: Interior and Exterior Angles of Other Polygons
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NAME:_____________________________
P.I. G.G.36: Investigate, justify, and apply theorems
about the sum of the measures of the interior and
exterior angles of polygons
3. Find the measure of one of the interior angles
of a regular polygon with ten sides.
[A] 18 
[B] 36 
[C] 162 
[D] 144 
P.I. G.G.37: Investigate, justify, and apply theorems
about each interior and exterior angle measure of
regular polygons
1. Find the sum of the measures of the interior
angles of an octagon.
4. Find the measure of each interior angle of a
regular heptagon.
2. Find the sum of the measures of the interior
angles in the figure.
5. Find the measure of an interior angle and an
exterior angle of a regular polygon with 40
sides.
Geometry Practice: Interior and Exterior Angles of Other Polygons
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NAME:_____________________________
6. Compare the quantity in Column A with the quantity in Column B.
Column A
Column B
the measure of each exterior the measure of each exterior
angle of a regular pentagon
angle of a regular hexagon
[A] The quantity in Column A is greater.
[B] The quantity in Column B is greater.
[C] The quantities are equal.
[D] The relationship cannot be determined on the basis of the information given.
7. Find x and y.
x°
107° y°
8. Find mA.
104°
56°
[A] 104
96°
118°
134°
115°
A
[B] 108
[C] 117
[D] 73
[E] 72
Regents Exam Questions by Topic
Page 1
OTHER POLYGONS: Interior and Exterior Angles of Other Polygons
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NAME:_____________________________
1.
4.
080428a, P.I. G.G.36
What is the sum, in degrees, of the measures
of the interior angles of a stop sign, which is
in the shape of an octagon?
2.
[A] 1,080
[B] 360
[C] 1,440
[D] 1,880
The measures of five of the interior angles of
a hexagon are 150°, 100°, 80°, 165°, and
150°. What is the measure of the sixth
interior angle?
[A] 180°
5.
080109a, P.I. G.G.36
[B] 360°
[C] 180°
[D] 1,080°
010514a, P.I. G.G.36
What is the sum, in degrees, of the measures
of the interior angles of a pentagon?
[A] 180
[B] 360
[C] 540
[C] 80°
[D] 75°
fall0827ge, P.I. G.G.37
[A] 45°
6.
3.
[B] 105°
What is the measure of an interior angle of a
regular octagon?
The sum of the measures of the interior angles
of an octagon is
[A] 540°
080820a, P.I. G.G.37
[B] 135°
[C] 60°
[D] 120°
060516a, P.I. G.G.37
The accompanying figure represents a section
of bathroom floor tiles shaped like regular
hexagons.
[D] 900
What is the measure of angle ABC?
[A] 90°
[B] 150°
[C] 120°
[D] 60°
Regents Exam Questions by Topic
Page 2
OTHER POLYGONS: Interior and Exterior Angles of Other Polygons
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NAME:_____________________________
7.
9.
060213a, P.I. G.G.37
What is the measure, in degrees, of each
exterior angle of a regular hexagon?
[A] 45
8.
[B] 135
[C] 60
060718a, P.I. G.G.37
One piece of the birdhouse that Natalie is
building is shaped like a regular pentagon, as
shown in the accompanying diagram.
[D] 120
080507a, P.I. G.G.37
A stop sign in the shape of a regular octagon
is resting on a brick wall, as shown in the
accompanying diagram.
If side AE is extended to point F, what is the
measure of exterior angle DEF?
[A] 108°
[B] 36°
[C] 144°
[D] 72°
What is the measure of angle x?
[A] 120°
[B] 135°
[C] 60°
[D] 45°
10.
060423a, P.I. G.G.37
Melissa is walking around the outside of a
building that is in the shape of a regular
polygon. She determines that the measure of
one exterior angle of the building is 60°.
How many sides does the building have?
[A] 6
[B] 3
[C] 12
[D] 9