intermediate Geometry assist » airplane Geometry » Hexagons » just how to discover an edge in a hexagon

There is a regular hexagon v a side size of

*
. What is the measure of an internal angle?


*


*


*


*


Explanation:

Given the the hexagon is a consistent hexagon, this method that every the side size are congruent and all inner angles room congruent. The concern requires us to deal with for the measure of an inner angle. Offered the aforementioned meaning of a continual polygon, this means that there should only it is in one correct answer.

You are watching: What is the measure of an exterior angle of a regular hexagon

In bespeak to deal with for the answer, the concern provides added information the isn"t necessarily required. The measure of an inner angle have the right to be fixed for using the equation:

*
 where
*
 is the number of sides of the polygon.

In this case,

*
.

For this problem, the information around the side length may be negated.

*

*

*

*


Report an Error

Example inquiry #2 : just how To find An edge In A Hexagon


What is the interior angle of a regular hexagon if the area is 15?


Possible Answers:
Correct answer:

*


Explanation:

The area has actually no relationship to uncover the edge of a constant hexagon.

There space 6 sides in a regular hexagon. Usage the adhering to formula to determine the inner angle.

*

Substitute 

*
 sides to determine the sum of all inner angles that the hexagon in degrees.

*

Since there room 6 sides, divide this number by 6 to identify the worth of each internal angle.

*


Report an Error

Example inquiry #3 : exactly how To uncover An angle In A Hexagon


Given: consistent Hexagon 

*
 with center 
*
. Build segments 
*
 and 
*
 to form Quadrilateral .

True or false: Quadrilateral 

*
 is a rectangle.


Possible Answers:

False


True


Correct answer:

False


Explanation:

Below is regular Hexagon 

*
 with center 
*
, a segment drawn from 
*
 to each vertex - the is, each of its radii drawn.

*

Each edge of a constant hexagon measures 

*
; through symmetry, every radius bisects an angle that the hexagon, so 

*
.

The angles of a rectangle must measure 

*
, therefore it has been disproved that Quadrilateral  is a rectangle.


Report one Error

Example question #4 : exactly how To find An angle In A Hexagon


True or false: each of the 6 angles that a continual hexagon measures 

*
.


Possible Answers:

False


True


Correct answer:

True


Explanation:

A continual polygon with 

*
 sides has 
*
 congruent angles, each of which measures 

*

Setting

*
, the usual angle measure deserve to be calculated come be

*

The statement is as such true.


Report one Error

Example inquiry #5 : just how To uncover An angle In A Hexagon


True or false: each of the exterior angles of a continuous hexagon measures

*
.


Possible Answers:

True


False


Correct answer:

False


Explanation:

If one exterior edge is taken at each vertex of any polygon, and also their steps are added, the sum is

*
. Every exterior edge of a consistent hexagon has actually the same measure, therefore if us let
*
be that common measure, then

*

Solve because that

*
:

*

*

The declare is false.


Report one Error

Example inquiry #6 : just how To discover An edge In A Hexagon


Given: Hexagon 

*
.

*

True, false, or undetermined: Hexagon 

*
 is regular.


Possible Answers:

False


True


Undetermined


Correct answer:

False


Explanation:

Suppose Hexagon 

*
 is regular. Each edge of a constant polygon of 
*
 sides has actually measure

*

A hexagon has actually 6 sides, for this reason set 

*
; every angle the the regular hexagon has measure

*

Since one angle is offered to it is in of measure 

*
, the hexagon cannot be regular.


Report an Error

Example question #7 : exactly how To uncover An angle In A Hexagon


What is the measure up of one exterior angle of a regular twenty-sided polygon?


Possible Answers:
Correct answer:

*


Explanation:

The sum of the exterior angle of any polygon, one at each vertex, is 

*
. In a continuous polygon, the exterior angle all have actually the very same measure, so divide 360 by the number of angles, which, here, is 20, the exact same as the variety of sides.

*
 


Report an Error

Example inquiry #8 : how To uncover An edge In A Hexagon


Which of the complying with cannot be the six interior angle steps of a hexagon?


Possible Answers:

All of these deserve to be the six interior angle steps of a hexagon.


Correct answer:

All of these deserve to be the six interior angle procedures of a hexagon.


Explanation:

The amount of the interior angle procedures of a hexagon is 

*

Add the angle procedures in every group.

*

*

*

*

In each case, the edge measures add up to 720, so the answer is that all of these can be the six interior angle steps of a hexagon.

See more: Which Countries Have Banks Along The Rhine River ? Which Countries Have Banks Along The Rhine River

 

 

 


Report one Error
watch Tutors
Chisom Certified guardian
Georgia southerly University, Bachelor the Science, Biochemistry. College of Georgia, existing Grad Student, Pharmacy.
view Tutors
Christopher Certified tutor
ITT technological Institute-Dunmore, Bachelors, electric Engineering. New Mexico State University-Main Campus, Masters, Electri...
check out Tutors
mar Jane Certified tutor
Winthrop University, Bachelor of Science, Elementary college Teaching.

All intermediate Geometry resources


8 Diagnostic tests 250 exercise Tests concern of the job Flashcards find out by concept
Popular Subjects
mathematics Tutors in Phoenix, Chemistry Tutors in Boston, ISEE Tutors in mountain Diego, act Tutors in Atlanta, Spanish Tutors in mountain Diego, math Tutors in Los Angeles, LSAT Tutors in Seattle, Physics Tutors in Seattle, LSAT Tutors in san Francisco-Bay Area, Chemistry Tutors in Atlanta
Popular process & Classes
ISEE courses & great in new York City, GMAT courses & class in Phoenix, GRE process & classes in Seattle, GRE process & classes in Washington DC, ISEE courses & classes in san Francisco-Bay Area, SSAT courses & great in Philadelphia, ACT courses & great in new York City, Spanish courses & class in Philadelphia, MCAT process & great in Chicago, MCAT courses & class in Miami
Popular check Prep
GMAT check Prep in Denver, GRE check Prep in Miami, ISEE check Prep in Denver, satellite Test prep in Houston, ACT test Prep in new York City, GMAT check Prep in Phoenix, satellite Test prepare in Washington DC, ISEE test Prep in Philadelphia, LSAT test Prep in Denver, satellite Test prep in Los Angeles
Report an issue with this concern

If you"ve uncovered an worry with this question, please let united state know. Through the assist of the ar we can proceed to enhance our education resources.


Do not fill in this field
* your Name:
* issue Description:
DMCA complain

your Infringement notice may be forwarded come the party that made the content obtainable or to 3rd parties such as ChillingEffects.org.

please follow these steps to paper a notice:

girlfriend must incorporate the following:

Send your complaint to our designated certified dealer at:

Charles Cohn Varsity Tutors gmbh 101 S. Hanley Rd, Suite 300 St. Louis, MO 63105