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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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