求数学大神解答一下!
3个回答
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延长CB交MA延长线于F
(1)∠C=∠F=40°(平行线内错角相等)
∠FAB+∠F=∠ABC=90°
∠FAB=∠ABC-∠F=90°-40°=50°
∠BAM=180°-50°=130°
(2)∠C=∠F
∠FAB+∠F=∠ABF=90°
∠FAB+∠ABD=∠ADB=90°
∠ABD=∠F=∠C
(3)∠C=∠F=∠DEB
△BEF等腰
BD〦AM
∠FBD=∠EBD(等腰三角形三线合一)
∠FBD=∠EBD=∠EBC
∠FBD+∠EBD+∠EBC=180°
∠FBD=∠EBD=∠EBC=60°
∠EBF=∠FBD+∠EBD=120°
AB〦BC
∠ABE=30°
AB〦BC
∠FAB+∠F=90°
∠FAB=60°
∠ABE+∠AEB=∠FAB
∠AEB=30°
(1)∠C=∠F=40°(平行线内错角相等)
∠FAB+∠F=∠ABC=90°
∠FAB=∠ABC-∠F=90°-40°=50°
∠BAM=180°-50°=130°
(2)∠C=∠F
∠FAB+∠F=∠ABF=90°
∠FAB+∠ABD=∠ADB=90°
∠ABD=∠F=∠C
(3)∠C=∠F=∠DEB
△BEF等腰
BD〦AM
∠FBD=∠EBD(等腰三角形三线合一)
∠FBD=∠EBD=∠EBC
∠FBD+∠EBD+∠EBC=180°
∠FBD=∠EBD=∠EBC=60°
∠EBF=∠FBD+∠EBD=120°
AB〦BC
∠ABE=30°
AB〦BC
∠FAB+∠F=90°
∠FAB=60°
∠ABE+∠AEB=∠FAB
∠AEB=30°
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