如图,已知AB∥CD,EF∥BP,MN∥DP,求∠1+∠E+∠F+∠3+∠M+∠N+∠2的度数.
如图,已知AB∥CD,EF∥BP,MN∥DP,求∠1+∠E+∠F+∠3+∠M+∠N+∠2的度数.
数学人气:354 ℃时间:2019-08-20 06:50:39
优质解答
点P作PG∥AB,∵AB∥CD,∴AB∥CD∥PG,∴∠1+∠FBP+∠EPG+∠EPB=180°,∠GPN+∠NPD+∠PDM+∠2=180°,∵EF∥BP,∴∠FBP=∠F,∠EPB=∠E,∴∠1+∠F+∠EPG+∠E=180°①,∵MN∥DP,∴∠NPD=∠N,∠PDM=∠M,∴∠GP...
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