Geometry Problem 1518. Post your solution in the comment box below.
Level: Mathematics Education, K-12 School, Honors Geometry, College.
Details: Click on the figure below.
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Dodecagon
ReplyDeleteLet <ABM = <CBM =p then in hexagon BCDENM
ReplyDeletep + 2p + 2p + 2p + 45 + 2p = 720
So p = 75, each internal angle of the polygon = 150 and thus each exterior angle = 30
Hence the number of sides of the polygon = 360/30 = 12
So the polygon is 12-sided
Sumith Peiris
Moratuwa
Sri Lanka