Lesson 5.2· Exterior Angles of a Polygon Period Date Name 1. How many sides does a regular polygon have if each exterior angle measures 30? 30 560 2. How many sides does a polygon have if the sum of the measures of the interior angles 5160 (-2)1 VO g960= 14on-360 is 3960°? n-12 12Sicles + 560 160 24=n 3. If the sum of the measures of the interior angles of a polygon equals the sum of the measures of its exterior angles, how many sides does it have? (n-2)1YOS60n 4. If the sum of the measures of the interior angles of a polygon is twice the sum of its exterior angles, how many sides does it have? on-360 = 36O In Exercises 5-7, find each lettered angle measure. 5. a = , b = 6. a = , b = 7. a = 156 b = 132. %3D 116

Elementary Geometry For College Students, 7e
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Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter2: Parallel Lines
Section2.1: The Parallel Postulate And Special Angles
Problem 13E: Lines r and s are cut by the transversal t. Which angle a corresponds to 1? b is the alternate...
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Lesson 5.2· Exterior Angles of a Polygon
Name
Period
Date
1. How many sides does a regular polygon
have if each exterior angle measures 30°?
30 860
2. How many sides does a polygon have if the
sum of the measures of the interior angles
is 3960°? 39606n-2)18s
n=12
12Sicles
g960s 1on-360
+ S60
24zn
3. If the sum of the measures of the interior
angles of a polygon equals the sum of the
measures of its exterior angles, how many
sides does it have? (n-2)1 360n
4. If the sum of the measures of the interior
angles of a polygon is twice the sum of its
exterior angles, how many sides does it
have?
lon-360 = 360
In Exercises 5-7, find each lettered angle measure.
5. a =
6. a =
b.
7. а —
156
b =
132
C =
116
82
9.
134°
72°
8. Find each lettered angle measure.
150°
a
C =
9. Construct an equiangular quadrilateral that is not regular.
CHAPTER 5
39
Discovering Geometry Practice Your Skills
02015 Kendall Hunt Publishing
Transcribed Image Text:Lesson 5.2· Exterior Angles of a Polygon Name Period Date 1. How many sides does a regular polygon have if each exterior angle measures 30°? 30 860 2. How many sides does a polygon have if the sum of the measures of the interior angles is 3960°? 39606n-2)18s n=12 12Sicles g960s 1on-360 + S60 24zn 3. If the sum of the measures of the interior angles of a polygon equals the sum of the measures of its exterior angles, how many sides does it have? (n-2)1 360n 4. If the sum of the measures of the interior angles of a polygon is twice the sum of its exterior angles, how many sides does it have? lon-360 = 360 In Exercises 5-7, find each lettered angle measure. 5. a = 6. a = b. 7. а — 156 b = 132 C = 116 82 9. 134° 72° 8. Find each lettered angle measure. 150° a C = 9. Construct an equiangular quadrilateral that is not regular. CHAPTER 5 39 Discovering Geometry Practice Your Skills 02015 Kendall Hunt Publishing
Lesson 5.1• Polygon Sum Conjecture
Name
Perlod
Date
In Excrcises 1 and 2, find each lettered angle measure,
1. a = l03, b = 102.c
2. a =
d= 83
d =
0-Gマ
Borespording
180-26a154
L54/2277
3. One exterior angle of a regular polygon measures 10°. What is
the measure of cach interior angle? How many sides does the
polygon have?
4. The sum of the measures of the interior angles of a regular polygon is
2340°. How many sides does the polygon have?
5. ABCD is a square. ABE is an equilateral
triangle.
6. ABCDE is a regular pentagon. ABFG
is a square.
x =
7. Use a protractor to draw pentagon ABCDE with mLA = 85°,
mZB = 125°, mLC = 110°, and mLD = 70°. What is mLE?
Measure it, and check your work by calculating.
Discovering Geometry Practice Your Ski
02015 Kendall Hunt Publish
38
CHAPTER 5
Transcribed Image Text:Lesson 5.1• Polygon Sum Conjecture Name Perlod Date In Excrcises 1 and 2, find each lettered angle measure, 1. a = l03, b = 102.c 2. a = d= 83 d = 0-Gマ Borespording 180-26a154 L54/2277 3. One exterior angle of a regular polygon measures 10°. What is the measure of cach interior angle? How many sides does the polygon have? 4. The sum of the measures of the interior angles of a regular polygon is 2340°. How many sides does the polygon have? 5. ABCD is a square. ABE is an equilateral triangle. 6. ABCDE is a regular pentagon. ABFG is a square. x = 7. Use a protractor to draw pentagon ABCDE with mLA = 85°, mZB = 125°, mLC = 110°, and mLD = 70°. What is mLE? Measure it, and check your work by calculating. Discovering Geometry Practice Your Ski 02015 Kendall Hunt Publish 38 CHAPTER 5
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