polygon conjecture - scevmath.org · 2019. 11. 27. · lesson 5.2.exterior angles of a polygon...

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Lesson 5.1 . Polygon Sum Conjecture In Exercises 1-4, find t. each lettered angle measure. Period Date 5. Use a protractor to draw pertagon ABCDEwth mLA = g5o, mLB: 125", mLC = 110", and. mLD = 7A".What is mLE? Measure it, and check your work by calculating. 6. one exterior angle of a regular polygon measrues 10o. what is the measure of each interior angle? Ho* *.ry sides does the polygon have? 7. The sum of the measures of the interior angles of a regular polygon is 2340". How many sides does the polygon have? l 8. ABCD is a square. r{AE is an equilateral triangle. x* Discovering 6eometry Proctice your Skills @2003 Key Curriculum Press 9. ABCDEF is a regular hexagon. ABGH is a square. x: 1A. ABCDE is a regular pentagon. dBFG is a square. x= -,:i; .:::i; ::'Jj 31 , ,r. I irrir* +:is m'?i iSE* CHAPTER 5

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Page 1: Polygon Conjecture - SCEVMATH.ORG · 2019. 11. 27. · Lesson 5.2.Exterior Angles of a Polygon Period In Exercises 1-3, find each lettered angle measure. 1.A: -rb: 2.a: -rb: How many

Lesson 5.1 . Polygon Sum Conjecture

In Exercises 1-4, find

t.each lettered angle measure.

Period Date

5. Use a protractor to draw pertagon ABCDEwth mLA = g5o,mLB: 125", mLC = 110", and. mLD = 7A".What is mLE?Measure it, and check your work by calculating.

6. one exterior angle of a regular polygon measrues 10o. what isthe measure of each interior angle? Ho* *.ry sides does thepolygon have?

7. The sum of the measures of the interior angles of a regular polygon is2340". How many sides does the polygon have?

l

8. ABCD is a square.r{AE is an equilateraltriangle.

x*

Discovering 6eometry Proctice your Skills@2003 Key Curriculum Press

9. ABCDEF is a regularhexagon. ABGH is asquare.

x:

1A. ABCDE is a regularpentagon. dBFG is asquare.

x=

-,:i;.:::i;::'Jj

31 , ,r.I irrir*

+:ism'?iiSE*

CHAPTER 5

Page 2: Polygon Conjecture - SCEVMATH.ORG · 2019. 11. 27. · Lesson 5.2.Exterior Angles of a Polygon Period In Exercises 1-3, find each lettered angle measure. 1.A: -rb: 2.a: -rb: How many

Lesson 5.2. Exterior Angles of a Polygon

Period

In Exercises 1-3, find each lettered angle measure.

1.A:

-rb:

2.a:

-rb:

How many sides does a regular polygon have if each exterior

angle measures 30o?

How many sides does a polygon have if the sum of the measures of the

interior angles is 3960"?

If the sum of the measures of the interior angles of a polygon equals

the sum of the measlses of its exterior angles, how many sides does

it have?

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?

ffi is the side of an equilateral triangle. K is the side of asquare. XP is the side of a regular pentagon. ffi is the side

of a regular hexagon. F is the side of a regular octagon.

mLTXS:wLPXH:mLOf,Y:

nLSXP:nLHXO:

If the number of sides of a regular polygon doubles,

what happens to the measure of each exterior angle?

Find each lettered angle measure.

3. A:c:

Date

_,b: _,

Discovering Geometry Practice Your Skills

. @2003 Key Curriculum Press

4.

5.

6.

----/ 7.,l)l

9.

10.

#j

CHAPTER 5

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