如图,求角A+角B+角C+角D+角E+角F+角AGF

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如图,求角A+角B+角C+角D+角E+角F+角AGF如图,求角A+角B+角C+角D+角E+角F+角AGF如图,求角A+角B+角C+角D+角E+角F+角AGF设AB与DE交于点K.与GF交于点N则∠AK

如图,求角A+角B+角C+角D+角E+角F+角AGF
如图,求角A+角B+角C+角D+角E+角F+角AGF

如图,求角A+角B+角C+角D+角E+角F+角AGF
设AB与DE交于点K.与GF交于点N
则∠AKD+∠ANG=∠E+∠F
∵∠B+∠C+∠D+∠AKD=360°
∠G+∠A+∠ANG=180°
∴∠B+∠C+∠D+∠AKD+∠G+∠A+∠ANG=540°
∴∠A+∠B+∠C+∠D+∠E+∠F+∠G=540°

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