tag:blogger.com,1999:blog-6933544261975483399.post5347348545393075196..comments2024-03-26T19:10:02.918-07:00Comments on Go Geometry (Problem Solutions): Geometry Problem 1518: Boost Your Geometry Skills: Solve for the Number of Sides in an Equiangular Polygon with an Interior Point and Bisected AngleAntonio Gutierrezhttp://www.blogger.com/profile/04521650748152459860noreply@blogger.comBlogger2125tag:blogger.com,1999:blog-6933544261975483399.post-26414166227237749222023-03-03T22:01:53.654-08:002023-03-03T22:01:53.654-08:00Let <ABM = <CBM =p then in hexagon BCDENM
p ...Let <ABM = <CBM =p then in hexagon BCDENM<br />p + 2p + 2p + 2p + 45 + 2p = 720<br />So p = 75, each internal angle of the polygon = 150 and thus each exterior angle = 30<br /><br />Hence the number of sides of the polygon = 360/30 = 12<br />So the polygon is 12-sided<br /><br />Sumith Peiris<br />Moratuwa<br />Sri LankaSumith Peirishttps://www.blogger.com/profile/06211995240466447227noreply@blogger.comtag:blogger.com,1999:blog-6933544261975483399.post-46059272685384876462023-03-03T11:56:18.325-08:002023-03-03T11:56:18.325-08:00DodecagonDodecagonc.t.e.o.noreply@blogger.com