Non-congruent angle of an isosceles triangle

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Imagine I have two rays R1 and R2 emerging from point A0. Suppose I have N points (X1, X2, X3, . . . , XN) on ray R1, and (Y1, Y2, Y3, . . . , YN) on ray R2 such that X1 and Y1 are the closest to A0 and points are sequentially plotted on these two rays.

Now for every i from 1 to N - 1, we draw a line segment from X[i] to Y[i+1], and from Y[i] to X[i+1]. For i = N, we draw line segment from X[N] to Y[N].

It is given that all these 2N - 1 line segments have equal lengths which itself is equal to |A0X1|, which itself equal to |A0Y1|.

It is obvious that the triangle formed from A0XNYN is isosceles. I want to find the non-congruent angle 'a' or angle XNA0YN. This is given that this angle is < 90 degrees.

I am stuck on it and unable to form a solution.