A Look at an Octadecagon-2

Geometry Level 3

In an 18 sided regular polygon with vertices labelled A 1 , A 2 , , A 18 A_1,A_2,\ldots,A_{18} in order,
the diagonals A 1 A 13 A_1A_{13} and A 6 A 15 A_6A_{15} intersect at a point M M ,
the diagonals A 1 A 13 A_1A_{13} and A 3 A 14 A_3A_{14} intersect at a point N N ,
the diagonals A 3 A 14 A_3A_{14} and A 6 A 15 A_6A_{15} intersect at a point P P .

Compute the angle M A 14 A 6 MA_{14}A_6


The answer is 30.

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