如图,在△ABC中,已知∠ABC=30°,点D在BC上,点E在AC上,∠BAD=∠EBC,AD交BE于F. (1)求∠BFD的度数; (2)若EG∥AD交BC于G,EH⊥BE交BC于H,求∠HEG的度数.
如图,在△ABC中,已知∠ABC=30°,点D在BC上,点E在AC上,∠BAD=∠EBC,AD交BE于F.
(1)求∠BFD的度数;
(2)若EG∥AD交BC于G,EH⊥BE交BC于H,求∠HEG的度数.
(1)求∠BFD的度数;
(2)若EG∥AD交BC于G,EH⊥BE交BC于H,求∠HEG的度数.
数学人气:704 ℃时间:2019-08-21 20:16:43
优质解答
(1)∵∠ABC=30°,∠BAD=∠EBC,∴∠BAD+∠ABF=∠EBC+∠ABF=∠ABC=30°,∵∠BFD是△ABF的外角,∴∠BFD=∠BAD+∠ABF=30°;(2)∵EG∥AD,∠BFD=30°,∴∠BEG=∠BFD=30°,∵EH⊥BE,∴∠BEH=90°,∴∠HEG=∠B...
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