Question

角a+角b+角c+角d+角e+角f等于多少?

Answer 1

∠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°