Question

Medal and fan to whoever answers:

http://gyazo.com/620229cbb2560a1cdf1475ab6a16b1ac

Answer 1

@Directrix

Answer 2

The pentagon is not regular.
The pentagon is circumscribed about the circle.
That says that the sides of the pentagon are tangent to the circle.

Answer 3

That brings to mind the theorem that tangents drawn to a circle from an outside point are congruent. Diagram attached.

Answer 4

Look at the attached diagram and see if you agree with the lengths shown.

@Judach

Answer 5

Like as if they are congruent?

Answer 6

I don't think I understand what you're asking me @Directrix