如圖,已知點D在AC上,點B在AE上,△ABC≌△DBE,且∠BDA=∠A,若∠A:∠C=5:3,則∠DBC=( ?。?A.30° B.25° C.20° D.15°
如圖,已知點D在AC上,點B在AE上,△ABC≌△DBE,且∠BDA=∠A,若∠A:∠C=5:3,則∠DBC=( )
A. 30°
B. 25°
C. 20°
D. 15°
![](http://hiphotos.baidu.com/zhidao/pic/item/024f78f0f736afc3ef7055e7b019ebc4b7451237.jpg)
B. 25°
C. 20°
D. 15°
數(shù)學(xué)人氣:227 ℃時間:2020-06-03 04:28:32
優(yōu)質(zhì)解答
由△ABC≌△DBE,∴∠BDE=∠A=∠BDA,∠E=∠C,∵∠A:∠C=5:3,∴∠A:∠BDA:∠BDE:∠E=5:5:5:3,又∠A+∠BDA+∠BDE+∠E=180°,∴∠C=∠E=30°,∠BDE=∠A=∠BDA=50°,∠CDE=∠A+∠E=50°+30°=80°,∴∠D...
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