∵AB=BC=CD=DE=EF,∠A=15°,
∴∠BCA=∠A=15°,
∴∠CBD=∠BDC=∠BCA+∠A=15°+15°=30°,
∴∠BCD=180°-(∠CBD+∠BDC)=180°-60°=120°,
∴∠ECD=∠CED=180°-∠BCD-∠BCA=180°-120°-15°=45°,
∴∠CDE=180°-(∠ECD+∠CED)=180°-90°=90°,
∴∠EDF=∠EFD=180°-∠CDE-∠BDC=180°-90°-30°=60°,
∴∠DEF=180°-(∠EDF+∠EFD)=180°-120°=60°.
故答案為:60°.
如圖,若∠A=15°,AB=BC=CD=DE=EF,則∠DEF等于_.
如圖,若∠A=15°,AB=BC=CD=DE=EF,則∠DEF等于______.
![](http://hiphotos.baidu.com/zhidao/pic/item/c83d70cf3bc79f3d1c3d0b84b9a1cd11738b29a2.jpg)
![](http://hiphotos.baidu.com/zhidao/pic/item/c83d70cf3bc79f3d1c3d0b84b9a1cd11738b29a2.jpg)
數(shù)學(xué)人氣:104 ℃時(shí)間:2020-09-02 20:01:36
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