Friday, March 3, 2023

Geometry Problem 1518: Boost Your Geometry Skills: Solve for the Number of Sides in an Equiangular Polygon with an Interior Point and Bisected Angle

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.

Geometry Problem 1518: Boost Your Geometry Skills: Solve for the Number of Sides in an Equiangular Polygon with an Interior Point and Bisected Angle. Difficulty Level: High School.

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2 comments:

  1. Let <ABM = <CBM =p then in hexagon BCDENM
    p + 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

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