角a+角b+角c+角d+角e+角f等于多少?
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角a+角b+角c+角d+角e+角f等于多少?
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![角a+角b+角c+角d+角e+角f等于多少?](/uploads/image/z/1740647-47-7.jpg?t=%E8%A7%92a%2B%E8%A7%92b%2B%E8%A7%92c%2B%E8%A7%92d%2B%E8%A7%92e%2B%E8%A7%92f%E7%AD%89%E4%BA%8E%E5%A4%9A%E5%B0%91%3F)
∠A+∠B+∠C+∠D+∠E+∠F=360°
令BD,CF交于P;DE,CF交于Q.
∵∠EPC=∠D+∠FQD,∠BQC=∠B+∠F,∠FQD=∠BQC
∴∠EPC=∠B+∠D+∠F
∵四边形ACPE
∴∠A+∠C+∠EPC+∠E=360°
∴∠A+∠B+∠C+∠D+∠E+∠F=360°
令BD,CF交于P;DE,CF交于Q.
∵∠EPC=∠D+∠FQD,∠BQC=∠B+∠F,∠FQD=∠BQC
∴∠EPC=∠B+∠D+∠F
∵四边形ACPE
∴∠A+∠C+∠EPC+∠E=360°
∴∠A+∠B+∠C+∠D+∠E+∠F=360°