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MathNet 2012 Question 20

Math Olympiad Vault · MathNet 2012

Question 20

Polygon $ABCDEFGHIJKL$ is regular with twelve sides.

Question illustration

a) Find its interior angles.
b) Point $M$ is the intersection of $AE$ and $DK$. Find $\angle MDE$ and $\angle DME$.
c) Find $\angle CBM$.
d) Prove that $B,M,F$ are collinear.