题目内容
如图,∠A+∠B+∠C+∠D+∠E+∠F的度数为( )
A.180° | B.360° | C.540° | D.720° |
如图,
∠AKH=∠A+∠B=∠HGK+∠KHG,
∠CGK=∠C+∠D=∠GKH+∠KHG,
∠FHB=∠E+∠F=∠HKG+∠KGH,
∴∠A+∠B+∠C+∠D+∠E+∠F=2(∠HGK+∠KHG+∠GKH)=2×180°=360°.
故选:B.
∠AKH=∠A+∠B=∠HGK+∠KHG,
∠CGK=∠C+∠D=∠GKH+∠KHG,
∠FHB=∠E+∠F=∠HKG+∠KGH,
∴∠A+∠B+∠C+∠D+∠E+∠F=2(∠HGK+∠KHG+∠GKH)=2×180°=360°.
故选:B.
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