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Omni-MATH / P , A , B , C , and D are five distinct points in space such that ∠APB=∠BPC=∠CPD=∠DPA=θ , where θ is a given acute angle. Determine the greatest and least values of ∠APC+∠BPD . · Discussion

Discussing P , A , B , C , and D are five distinct points in space such that ∠APB=∠BPC=∠CPD=∠DPA=θ , where θ is a given acute angle. Determine the greatest and least values of ∠APC+∠BPD . · Omni-MATH

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