L>Unit 15 section 2 : angle Properties that Polygonsanseq1 = new Image();anseq1.src = "s2ea1.gif";anseq2 = brand-new Image();anseq2.src = "s2ea2.gif";anseq3 = brand-new Image();anseq3.src = "s2ea3.gif";function showAnswer(q) document.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 = 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 of PolygonsIn this section we calculation the size of the interior and also exterior angle for different constant polygons.In a continuous polygon the sides are all the same length and the interior angles are all the same size.The adhering to diagram reflects a continual hexagon:Note that, because that any allude in a polygon, the internal angle and also exterior angle are on a straight line and also therefore include up come 180°.This means that we deserve to work the end the internal angle indigenous the exterior angle and vice versa:Interior edge = 180° – Exterior AngleExterior angle = 180° – interior AngleIf you follow approximately the perimeter that the polygon, turning at each exterior angle, you do a finish turn the 360°.In every polygon, the exterior angle always include up come 360°Since the interior angles of a constant polygon are all the exact same size, the exterior angles must also be equal to one another.To uncover the size of one exterior angle, we simply need to divide 360° by the number of sides in the polygon.In a constant polygon, the size of each exterior edge = 360° ÷ number of sidesIn this case, the size of the exterior edge of a continual hexagon is 60° since 360° ÷ 6 = 60° and also the inner angle must be 120° due to the fact that 180° – 60° = 120°This also method that we can discover the variety of sides in a continuous polygon if we understand the exterior angle.In a continuous polygon, the number of sides = 360° ÷ dimension of the exterior angleWe have the right to use every the over facts to work-related out the answers come questions about the angles in regular polygons.Example inquiry 1A consistent octagon has eight equal sides and eight same angles.(a) calculate the size of each exterior angle in the regular octagon.We execute this by separating 360° by the variety of sides, which is 8.The prize is 360° ÷ 8 = 45°.(b) calculation the size of each inner angle in the continual octagon.We execute this by subtracting the size of every exterior angle, i m sorry is 45°, indigenous 180°.The prize is 180° – 45° = 135°.Example inquiry 2A consistent polygon has equal exterior angles of 72°.(a) calculate the size of each inner angle in the continuous polygon.We carry out this by subtracting the exterior angle of 72° from 180°.The prize is 180° – 72° = 108°.(b) calculate the variety of sides in the regular polygon.We carry out this by separating 360° by the size of one exterior angle, which is 72°.The prize is 360° ÷ 72° = 5 sides.Practice QuestionWork out the answers to this concern then click the buttons significant to check out whether you room correct.The inner angles that a consistent polygon are all same to 140°.(a) What is the size of each of the exterior angles in the consistent polygon?(b) How countless sides go the polygon have?(c) What is the name of the polygon? ExercisesWork out the answers come the questions below and also fill in the boxes. Click the button to find out whether you have answered correctly. If girlfriend are ideal then will appear and also you should move on to the next question. If shows up then your answer is wrong. Clickon to clean your initial answer and have one more go. If you can"t job-related out the right answer then click to see the answer.Question 1Calculate the dimension of the exterior angle of a continuous polygon i m sorry hasinterior angles of:(a) 150°° (b) 175°° (c) 162°° (d) 174°° inquiry 2Calculate the size of the exterior and interior angle of:(a) a continuous decagonexterior = ° inner = ° (b) a regular pentagonexterior = ° interior = ° question 3A dodecagon is a 12-sided polygon.Calculate the dimension of the exterior edge of a continuous dodecagon.° question 4The exterior edge of a particular regular polygon is 12°.How numerous sides go this polygon have? inquiry 5Calculate the variety of sides the a continual polygon with inner angles of:(a) 150° political parties (b) 175° sides (c) 162° political parties (d) 171° sides concern 6Each exterior edge of a constant polygon is 4°.(a) How numerous sides does the polygon have? sides (b) What is the dimension of each interior angle in the polygon?° (c) What is the full of all the inner angles added together?° You have actually now perfect Unit 15 section 2Your in its entirety score because that this section is exactly AnswersYou answered questions appropriately out of the inquiries in this section.Incorrect AnswersThere to be questions where you provided the tell Me button.There to be questions with not correct answers.There to be inquiries 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 ~ above "+tands+"");fbwin.document.write("");fbwin.document.write("");fbwin.document.write("We appreciate any type of comments you have ");fbwin.document.write("about "+tands+". Us are an especially interested in mathematical errors or elements of the ");fbwin.document.write("page which might be confusing.");fbwin.document.write("");fbwin.document.write("If you to be happy that the unit worked correctly, please click the switch on the right. If friend ");fbwin.document.write("found any type of problems or would like to include any comments, please fill the end the kind 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 are under development, we find any feedback very valuable.


You are watching: What is the measure of the interior angles of a regular octagon


See more: Where To Get The Good Rod In Emerald ? Where Can I Find The Good Rod On Pokemon Emerald

Click below to fill out a an extremely short kind which enables you make comments around the page, or merely confirm that whatever 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 ");