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Let ABC be a clockwise triangle with oriented interior angles alpha, beta, and gamma at the vertices A, B, and C, respectively. Prove that R(C,2γ)

Let ABC be a clockwise triangle with oriented interior angles alpha, beta, and gamma at the vertices A, B, and C, respectively. Prove that R(C,2γ) composed with R(B,2β) composed with R(A,2α) is equal to the identity.

(R is a rotation in this problem.)

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