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  • 1. (2021七下·福山期中) 结合图形填空:

    已知,如图,∠BAE+∠AED=180°,∠M=∠N,试说明:∠1=∠2.

    解:∵∠BAE+∠AED=180°

    ∴ AB∥CD(                  ▲                  

    ∴∠BAE=                   ▲                                    ▲                  

    又∵∠M=∠N (已知)

    ∴ AN∥                  ▲                                    ▲                  

    ∴∠NAE=                   ▲                  (两直线平行,内错角相等)

    ∴∠BAE﹣∠NAE=                  ▲                   ﹣                  ▲                  

    即∠1=∠2.(                  ▲                  

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