Call Now to Set Up Tutoring:

(888) 888-0446

ACT Math : Other Polygons

Study concepts, example questions & explanations for ACT Math

Create An Account

All ACT Math Resources

14 Diagnostic Tests 767 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #603 : Geometry

Fig_2

What is the angle measure for the largest unknown angle in the figure above? Round to the nearest hundredth.

Possible Answers:

$140.14^{\circ}$

$186.36^{\circ}$

$84.14^{\circ}$

$149.1^{\circ}$

$74.55^{\circ}$

Correct answer:

$186.36^{\circ}$

Explanation:

The total degree measure of a given figure is given by the equation 180*(s-2) , where represents the number of sides in the figure. For this figure, it is: $180*(6-2)=180*4 = 720^{\circ}$

Therefore, we know that the sum of the angles must equal $720^{\circ}$ . This gives us the equation:

$90^{\circ}+120^{\circ}+100^{\circ}+x+2.5x+2x=720^{\circ}$

Simplifying, this is:

$310^{\circ}+5.5x=720^{\circ}$

Now, just solve for :

5.5x=410

$x=\frac{410}{5.5}$

The largest of the unknown angles is 2.5x or $2.5 * \frac{410}{5.5}=186.36363636363636...^{\circ}$

Rounding, this is $186.36^{\circ}$ .

Report an Error

Example Question #4 : How To Find An Angle In A Polygon

What is the interior angle of a $\textup{9-sided}$ polygon (a nonagon)? Round answer to the nearest hundredth if necessary.

Possible Answers:

$140^{\circ}$

$147.27^{\circ}$

$1260^{\circ}$

$128.57^{\circ}$

$360^{\circ}$

Correct answer:

$140^{\circ}$

Explanation:

To find the interior angle of an sided polygon, first find the total number of degrees in the polygon by the formula:
$(n-2)*180^{\circ}$ . For us that yields:
$(9-2)*180^{\circ} = 1260^{\circ}$ . Next we divide the total number of degrees by the number of sides:

$1260^{\circ}/9 = 140^{\circ}$

Report an Error

Example Question #12 : Other Polygons

What is the total number of degrees in a $\textup{12-sided}$ polygon?

Possible Answers:

$2160^{\circ}$

$1800^{\circ}$

$144^{\circ}$

$150^{\circ}$

$1440^{\circ}$

Correct answer:

$1800^{\circ}$

Explanation:

To find the total number of degrees in an -sided polygon, use the formula:

(n-2)*180 thus we see that (12-2)*180 = $1800^{\circ}$

Report an Error

Example Question #5 : How To Find An Angle In A Polygon

What is the interior angle of a $\textup{16-sided}$ polygon?

Possible Answers:

$360^{\circ}$

$2520^{\circ}$

$154.29^{\circ}$

$157.5^{\circ}$

$160^{\circ}$

Correct answer:

$157.5^{\circ}$

Explanation:

To find the interior angle of a regular, -sided polygon, use the formula:

((n-2)*180)/n :

Thus we see that $(16-2)*180^{\circ} = 2520^{\circ}$ and

$2520^{\circ}/16 = 157.5^{\circ}$

Report an Error

Example Question #6 : How To Find An Angle In A Polygon

What is the total number of degrees in a $\textup{7-sided}$ polygon?

Possible Answers:

$540^{\circ}$

$360^{\circ}$

$900^{\circ}$

$128.57^{\circ}$

$1260^{\circ}$

Correct answer:

$900^{\circ}$

Explanation:

To find the total number of degrees in an -sided polygon, use the formula:

$(n-2)*180^{\circ}$ . Thus we see that:

$(7-2)*180 = 900^{\circ}$

Report an Error

Example Question #1 : How To Find An Angle In A Polygon

How many degrees are in the interior of an octagon (an 8-sided polygon)?

Possible Answers:

$1260^{\circ}$

$1080^{\circ}$

$900^{\circ}$

$1440^{\circ}$

$135^{\circ}$

Correct answer:

$1080^{\circ}$

Explanation:

To find the total number of degrees in an -sided polygon, use the formula:

$(n-2)*180^{\circ}$ . Thus, for an octagon we have:

$(8-2)*180^{\circ} = 1080^{\circ}$

Report an Error

Example Question #2 : How To Find An Angle In A Polygon

What is the interior angle of a pentagon?

Possible Answers:

$108^{\circ}$

$128.57^{\circ}$

$540^{\circ}$

$72^{\circ}$

$110^{\circ}$

Correct answer:

$108^{\circ}$

Explanation:

To find the interior angle of an -sided polygon, use the formula:

$((n-2)*180^{\circ})/n$
we see for our polygon this yields:

$((5-2)180^{\circ})/5=108^{\circ}$

Report an Error

Example Question #9 : How To Find An Angle In A Polygon

What is the interior angle of a ten-sided polygon?

Possible Answers:

$1440^{\circ}$

$150^{\circ}$

$144^{\circ}$

$180^{\circ}$

$360^{\circ}$

Correct answer:

$144^{\circ}$

Explanation:

To find the interior angle of an -sided polygon, use the equation:

$((n-2)*180^{\circ})/n$

Plugging in 10 for yields:

$((10-2)*180^{\circ}/10)=144^{\circ}$

Report an Error

Example Question #11 : Other Polygons

Find the total number of degrees inside a hexagon.

Possible Answers:

540

1080

720

900

Correct answer:

720

Explanation:

To solve, simply use the following formula where is the number of sides. Thus,

$\textup{degrees}=(n-2)(180)=(6-2)(180)=4*180=720$

Report an Error

Example Question #12 : Other Polygons

Find the total number of degrees in a heptagon.

Possible Answers:

$540^\circ$

$720^\circ$

$900^\circ$

$1080^\circ$

Correct answer:

$900^\circ$

Explanation:

To solve, simply use the formula for finding the degrees in a closed polygon, given n being the number of sides.

In this particular case, a heptagon has seven sides.

Thus,

degrees=(n-2)*180=(7-2)*180=5*180=900

Report an Error

View ACT Math Tutors

Nate
Certified Tutor

University of Wisconsin-Oshkosh, non degree, Prepharmacy. University of Wisconsin-Madison, Pharmaceutical Chemist, Pharmacy.

View ACT Math Tutors

Sumit
Certified Tutor

Calcutta University, Bachelor of Science, Mathematics. Indian Statistical Institute, Master of Science, Mathematics.

View ACT Math Tutors

Jason
Certified Tutor

Brigham Young University, Bachelor, Neuroscience.

All ACT Math Resources

14 Diagnostic Tests 767 Practice Tests Question of the Day Flashcards Learn by Concept

ACT Math Tutors in Top Cities:

Atlanta ACT Math Tutors, Austin ACT Math Tutors, Boston ACT Math Tutors, Chicago ACT Math Tutors, Dallas Fort Worth ACT Math Tutors, Denver ACT Math Tutors, Houston ACT Math Tutors, Kansas City ACT Math Tutors, Los Angeles ACT Math Tutors, Miami ACT Math Tutors, New York City ACT Math Tutors, Philadelphia ACT Math Tutors, Phoenix ACT Math Tutors, San Diego ACT Math Tutors, San Francisco-Bay Area ACT Math Tutors, Seattle ACT Math Tutors, St. Louis ACT Math Tutors, Tucson ACT Math Tutors, Washington DC ACT Math Tutors

Popular Courses & Classes

Spanish Courses & Classes in Houston, SSAT Courses & Classes in San Diego, GMAT Courses & Classes in Chicago, ACT Courses & Classes in Atlanta, SSAT Courses & Classes in Houston, GRE Courses & Classes in San Francisco-Bay Area, ACT Courses & Classes in Phoenix, SAT Courses & Classes in Philadelphia, LSAT Courses & Classes in Chicago, LSAT Courses & Classes in Phoenix

Popular Test Prep

ACT Test Prep in San Francisco-Bay Area, SAT Test Prep in Denver, SSAT Test Prep in San Diego, MCAT Test Prep in San Diego, LSAT Test Prep in Denver, ACT Test Prep in Atlanta, GMAT Test Prep in New York City, SSAT Test Prep in Chicago, SAT Test Prep in Miami, GRE Test Prep in Miami

DMCA Complaint

If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing the information described below to the designated agent listed below. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially misrepresent that a product or activity is infringing your copyrights. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

Please follow these steps to file a notice:

You must include the following:

A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; An identification of the copyright claimed to have been infringed; A description of the nature and exact location of the content that you claim to infringe your copyright, in \ sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require a link to the specific question (not just the name of the question) that contains the content and a description of which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Your name, address, telephone number and email address; and A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are either the copyright owner or a person authorized to act on their behalf.

Send your complaint to our designated agent at:

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

Or fill out the form below:

Do not fill in this field

Contact Information

* Full legal name

Company name

* Phone number

* Email address

Address

* Address1

Address2

* City

* State

* Zipcode

* Country

Complaint Details

* URL of copyrighted work (where your original material is located)

* Please describe the copyrighted work so that it may be easily identified

I am the owner, or an agent authorized to act on behalf of the owner of an exclusive right that is allegedly infringed.

I have a good faith belief that the use of the material in the manner complained of is not authorized by the copyright owner, its agent, or the law.

This notification is accurate.

I acknowledge that there may be adverse legal consequences for making false or bad faith allegations of copyright infringement by using this process.

* Signature (your digital signature is legally binding)

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

ACT Math : Other Polygons

Study concepts, example questions & explanations for ACT Math

All ACT Math Resources

Example Questions

Example Question #603 : Geometry

Example Question #4 : How To Find An Angle In A Polygon

Example Question #12 : Other Polygons

Example Question #5 : How To Find An Angle In A Polygon

Example Question #6 : How To Find An Angle In A Polygon

Example Question #1 : How To Find An Angle In A Polygon

Example Question #2 : How To Find An Angle In A Polygon

Example Question #9 : How To Find An Angle In A Polygon

Example Question #11 : Other Polygons

Example Question #12 : Other Polygons

All ACT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: