AB.CD.EF相交于点O,角DOB是它的余角的两倍,角AOE=2角DOF,角AOG=100度,求角EOG的度数
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![AB.CD.EF相交于点O,角DOB是它的余角的两倍,角AOE=2角DOF,角AOG=100度,求角EOG的度数](/uploads/image/z/6899243-59-3.jpg?t=AB.CD.EF%E7%9B%B8%E4%BA%A4%E4%BA%8E%E7%82%B9O%2C%E8%A7%92DOB%E6%98%AF%E5%AE%83%E7%9A%84%E4%BD%99%E8%A7%92%E7%9A%84%E4%B8%A4%E5%80%8D%2C%E8%A7%92AOE%3D2%E8%A7%92DOF%2C%E8%A7%92AOG%3D100%E5%BA%A6%2C%E6%B1%82%E8%A7%92EOG%E7%9A%84%E5%BA%A6%E6%95%B0)
AB.CD.EF相交于点O,角DOB是它的余角的两倍,角AOE=2角DOF,角AOG=100度,求角EOG的度数
AB.CD.EF相交于点O,角DOB是它的余角的两倍,角AOE=2角DOF,角AOG=100度,求角EOG的度数
AB.CD.EF相交于点O,角DOB是它的余角的两倍,角AOE=2角DOF,角AOG=100度,求角EOG的度数
∠DOB=(90°-∠DOB)*2
∠DOB=60°
∠COG=∠AOG-∠AOC=∠AOG-∠DOB=100°-60°=40°
∠AOC=∠DOB=∠AOE+∠EOC=∠AOE+∠DOF=3∠DOF=60°
∠DOF=60°/3=20°
∠EOG=∠EOC+∠COG=∠DOF+∠COG=20°+40°=60°
∠DOB=(90°-∠DOB)*2
∠DOB=60°
∠COG=∠AOG-∠AOC=∠AOG-∠DOB=100°-60°=40°
=1=>∠AOC=∠DOB=∠AOE+∠EOC=∠AOE+∠DOF=3∠DOF=60°
=2=>∠AOC=∠DOB=∠AOE-∠EOC=∠AOE-∠DOF=∠DOF=60°
=1=>∠DOF=60°/3=20°
∠...
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∠DOB=(90°-∠DOB)*2
∠DOB=60°
∠COG=∠AOG-∠AOC=∠AOG-∠DOB=100°-60°=40°
=1=>∠AOC=∠DOB=∠AOE+∠EOC=∠AOE+∠DOF=3∠DOF=60°
=2=>∠AOC=∠DOB=∠AOE-∠EOC=∠AOE-∠DOF=∠DOF=60°
=1=>∠DOF=60°/3=20°
∠EOG=∠EOC+∠COG=∠DOF+∠COG=20°+40°=60°
=2=>∠DOF=60°
∠EOG=∠EOC-∠COG=∠DOF-∠COG=60°-40°=20°
20或60
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