Summing the angles!

Geometry Level 4

In the 7-point star shown in the figure above, no three lines are concurrent. Find the sum of the angles ( A 1 + A 2 + A 3 + A 4 + A 5 + A 6 + A 7 ) (A_1 + A_2 + A_3 + A_4 + A_5 + A_6 + A_7) in degrees.

14 0 ∘ 140^\circ 35 0 ∘ 350^\circ 21 0 ∘ 210^\circ 28 0 ∘ 280^\circ 36 0 ∘ 360^\circ 9 0 ∘ 90^\circ 18 0 ∘ 180^\circ 27 0 ∘ 270^\circ

Satyajit Mohanty by Satyajit Mohanty , 24, India

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