.src = eval("ans"+q+".src"); window.focus();check = new Image();check.src = "check78.gif";correct = brand-new Image();correct.src = "correct78.gif";wrong = brand-new Image();wrong.src = "wrong78.gif";tellme = brand-new Image();tellme.src = "tellme61.gif";blank = new Image();blank.src = "blank61.gif";numq = 17; cc = 0; cw = 0; ag = 0; tm = 0;function Calculate(){inputbox=eval("document.forms.resultform.elements.resQ");inputbox.value = numq;inputbox=eval("document.forms.resultform.elements.resC");inputbox.value = cc;inputbox=eval("document.forms.resultform.elements.resW");inputbox.value = cw-ag-tm;inputbox=eval("document.forms.resultform.elements.resG");inputbox.value = tm;inputbox=eval("document.forms.resultform.elements.resL");inputbox.value = numq+ag-cc-cw;inputbox=eval("document.forms.resultform.elements.resP");extra = ((cc*100)%numq);if (extra Unit 15 ar 2 : edge Properties that PolygonsIn this ar we calculate the dimension of the interior and also exterior angle for different regular polygons.In a regular polygon the sides space all the same length and also the inner angles are all the same size.The complying with diagram reflects a constant hexagon:Note that, for any allude in a polygon, the internal angle and also exterior angle space on a straight line and therefore add up come 180°.This way that we have the right to work out the interior angle native the exterior angle and also vice versa:Interior angle = 180° – Exterior AngleExterior angle = 180° – internal AngleIf you follow approximately the perimeter that the polygon, turning at every exterior angle, you execute a finish turn of 360°.In every polygon, the exterior angles always add up to 360°Since the inner angles of a continual polygon space all the same size, the exterior angles must likewise be equal to one another.To uncover the size of one exterior angle, we simply need to divide 360° by the variety of sides in the polygon.In a continual polygon, the dimension of every exterior angle = 360° ÷ number of sidesIn this case, the dimension of the exterior edge of a constant hexagon is 60° due to the fact that 360° ÷ 6 = 60° and also the inner angle have to be 120° because 180° – 60° = 120°This also way that us can find the variety of sides in a constant polygon if we know the exterior angle.In a continuous polygon, the number of sides = 360° ÷ size of the exterior angleWe can use every the above facts to work-related out the answers come questions around the angles in consistent polygons.Example question 1A consistent octagon has actually eight equal sides and eight same angles.(a) calculate the dimension of each exterior angle in the continual octagon.We do this by splitting 360° by the variety of sides, which is 8.The prize is 360° ÷ 8 = 45°.(b) calculation the size of each interior angle in the constant octagon.We do this by subtracting the size of each exterior angle, i m sorry is 45°, from 180°.The prize is 180° – 45° = 135°.Example inquiry 2A regular polygon has actually equal exterior angle of 72°.(a) calculate the dimension of each inner angle in the continual polygon.We do this by individually the exterior edge of 72° native 180°.The prize is 180° – 72° = 108°.(b) calculate the number of sides in the constant polygon.We perform this by dividing 360° by the size of one exterior angle, i beg your pardon is 72°.The answer is 360° ÷ 72° = 5 sides.Practice QuestionWork the end the answers to this question then click on the buttons marked to check out whether you space correct.The interior angles the a constant polygon are all equal to 140°.(a) What is the size of every of the exterior angle in the continual polygon?(b) How numerous sides does the polygon have?(c) What is the surname of the polygon? ExercisesWork out the answers to the concerns below and also fill in the boxes. Click on the switch to discover out even if it is you have actually answered correctly. If friend are appropriate then will certainly appear and you should relocate on come the next question. If appears then her answer is wrong. Clickon to clear your original answer and also have one more go. If you can"t work out the appropriate answer then click on to see the answer.Question 1Calculate the dimension of the exterior angle of a continual polygon i beg your pardon hasinterior angles of:(a) 150°° (b) 175°° (c) 162°° (d) 174°° question 2Calculate the size of the exterior and also interior angle of:(a) a continual decagonexterior = ° inner = ° (b) a continuous pentagonexterior = ° interior = ° question 3A dodecagon is a 12-sided polygon.Calculate the dimension of the exterior edge of a consistent dodecagon.° inquiry 4The exterior angle of a certain regular polygon is 12°.How countless sides does this polygon have? inquiry 5Calculate the variety of sides of a constant polygon with inner angles of:(a) 150° sides (b) 175° sides (c) 162° sides (d) 171° sides question 6Each exterior angle of a continual polygon is 4°.(a) How countless sides walk the polygon have? political parties (b) What is the dimension of each interior angle in the polygon?° (c) What is the total of all the interior angles added together?° You have actually now completed Unit 15 ar 2Your as whole score because that this section is exactly AnswersYou answer questions effectively out that the inquiries in this section.Incorrect AnswersThere were inquiries where you supplied the tell Me button.There to be concerns with dorn answers.There were questions you didn"t attempt.function feedback(unit,section)tands = "Y8 Unit "+unit+" section "+section;var fbwin = window.open("about:blank","fbwin","resizeable=no,height=400,width=600");fbwin.document.open();fbwin.document.write("Feedback on "+tands+"");fbwin.document.write("");fbwin.document.write("");fbwin.document.write("We appreciate any kind of comments you have actually ");fbwin.document.write("about "+tands+". Us are specifically interested in mathematical errors or facets of the ");fbwin.document.write("page which might be confusing.");fbwin.document.write("");fbwin.document.write("If you to be happy the the unit operated correctly, please click the button on the right. If girlfriend ");fbwin.document.write("found any problems or would choose to add any comments, you re welcome fill the end the form below and click ");fbwin.document.write("on the send button.");fbwin.document.write("");fbwin.document.write("");fbwin.document.write("");fbwin.document.write("");fbwin.document.write("");fbwin.document.write("");fbwin.document.write("");fbwin.document.write("");fbwin.document.write("");fbwin.document.write("");fbwin.document.write("");fbwin.document.write("Section:");fbwin.document.write("Your name:");fbwin.document.write("");fbwin.document.write("");fbwin.document.write("Your e-mail:");fbwin.document.write("Comments:");fbwin.document.write("");fbwin.document.write("");fbwin.document.write("");fbwin.document.close();Since these pages room under development, we find any type of feedback extremely valuable.

You are watching: What is the measure of an interior angle of a regular octagon?

See more: What Numbers Are Divisible By 7 Between 4 And 100? Numbers Divisible By 7

Click right here to fill out a really short kind which enables you make comments about the page, or just confirm that every little thing works correctly.Return come the Y8 Tutorials MenuProduced by A.J. Reynolds may 2008 if ((!!navigator.vendor) && (navigator.vendor.indexOf("Apple")!=-1)) document.write(" pagepath=document.URL.substr(0,document.URL.lastIndexOf("/")+1);");document.write("for (var prop in window) t"+"ry srcstr = eval(prop+".src") catch( err ) srcstr="none" ;");document.write("if ((typeof(srcstr)!="undefined") && (srcstr.indexOf(".gif")!=-1) && (srcstr.indexOf("/")==-1))");document.write(" eval(prop).src = pagepath+srcstr ");

# What is the measure of an interior angle of a regular octagon?

L>Unit 15 ar 2 : edge Properties the Polygonsanseq1 = brand-new Image();anseq1.src = "s2ea1.gif";anseq2 = new Image();anseq2.src = "s2ea2.gif";anseq3 = new Image();anseq3.src = "s2ea3.gif";function showAnswer(q) document