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Ot là phân giác của góc xOy
=>góc xOt=góc yOt=góc xOy/2
Ot' là phân giác của góc x'Oy'
=>góc x'Ot'=góc y'Ot'=góc x'Oy'/2
mà góc x'Oy'=góc xOy
nên góc xOt=góc yOt=góc x'Ot'=góc yOt'
=>góc x'Ot'=góc xOt
=>góc xOt+góc xOt'=180 độ
=>Ot và Ot' là hai tia đối nhau
Ta có xOy và x'Oy' là 2 góc đối đỉnh nên 2 tia phân giác của chúng sẽ là 2 tia đối mà Ot là tia phân giác của góc xOy và Ot' là tia đối của tia Ot nên Ot' là tia phân giác của x'Oy'(đpcm)