
的度数.
证明:
∵DE=DB
∴∠DEB=∠悉敬B
∴∠BDE=180°-(∠DEB+∠B)前陆神=180°-2∠B
∵DF=DC
∴∠DFC=∠C
∴∠CDF=180°-(∠DFC+∠C)=180°-2∠C
∴∠EDF=180°-(∠BDE+∠CDF)
=180°-(180°-2∠B+180°-2∠C)
=2(∠B+∠C)-180°
∵慧亏∠B+∠C=180°-∠A
∴∠EDF=2(180°-∠A)-180°
=180°-2∠A=180°-110°=70°
解:∵DE=DB∴∠DEB=∠B
∵DF=DC∴∠碧档旁DFC=∠C
∴∠BDF=2∠C
∠EDC=2∠B
∵∠A=55°
∴∠B+∠C=125°
2∠B=∠EDB+∠EDF
2∠C=∠FDC+∠EDF
2(∠B+∠C)=∠蠢埋FDC+∠EDF+∠EDB+∠EDF
=180°+∠悔橡EDF
∠EDF=2×125°-180°
=250°-180°
=70°