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α+(α+10⁰)+(α+20⁰)+(α+30⁰)+(α+40⁰)+(α+50⁰)=720
6α+150⁰=720⁰
6α=570⁰ |:6
α=95⁰
α=95⁰
β=95⁰+10⁰=105⁰
γ=95⁰+10⁰+10⁰=115⁰
(...)
sprawdzamy:
95⁰+105⁰+115⁰+125⁰+135⁰+145⁰ = Sn
Sn = 6*(a₁+a₆)/2 = 3*(95⁰+145⁰) = 3*240⁰ = 720⁰
więc wszystko jest super.