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