求解中學幾何數學題

2012-06-25 6:30 pm
The bisectors of two adjacnt supplemntary angles form a right angle.
Given: <ABC is supp. to < CBD
BE bisects <CBD
BF bisects <CBD
Prove: <EBF is a right angle

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回答 (1)

2012-06-25 7:00 pm
✔ 最佳答案
ABC + CBD = 180 (adj. <s on st. line)
ABE + EBC + CBF + FBD = 180
EBC + EBC + CBF + CBF = 180
2EBC + 2CBF = 180
2(EBC + CBF) = 180
2EBF = 180
EBF = 90

thus, EBF is a right angle
參考: knowledge


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