如图,∠AOB=∠COD=90°,∠AOC=30°.(1)求∠COB,∠BOD和∠AOD的度数;(2)写出图中与∠AOD互补的角,并说明理由图:
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如图,∠AOB=∠COD=90°,∠AOC=30°.(1)求∠COB,∠BOD和∠AOD的度数;(2)写出图中与∠AOD互补的角,并说明理由图:
如图,∠AOB=∠COD=90°,∠AOC=30°.
(1)求∠COB,∠BOD和∠AOD的度数;
(2)写出图中与∠AOD互补的角,并说明理由
图:
如图,∠AOB=∠COD=90°,∠AOC=30°.(1)求∠COB,∠BOD和∠AOD的度数;(2)写出图中与∠AOD互补的角,并说明理由图:
∠COB=∠AOB-∠AOC=90°-30°=60°
∠COB=∠COD-∠COD=90°-60°=30°
∠AOD=∠AOB+∠COD=90°+30°=120°
∠AOD=120° ∠COB=60°
∠AOD=+∠COB=180° 所以 ∠AOD和∠COB互补
COB=AOB-AOC=90-30=60
BOD=COD-COB=90-60=30
AOD=AOB+BOD=90+30=120
延长AO做OE
DOE+AOE=180所以互补
∠COB 60度,∠BOD 60度,∠AOD 120度
∠COD应为他们的和为180度
∠COB=∠AOB-∠AOC=90°-30°=60°
∠COB=∠COD-∠COD=90°-60°=30°
∠AOD=∠AOB+∠COD=90°+30°=120°
∠AOD=120° ∠COB=60°
∠AOD=+∠COB=180° 所以 ∠AOD和∠COB补 ∠COB=∠AOB-∠AOC=90°-30°=60°
∠COB=∠COD-∠COD=90°-6...
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∠COB=∠AOB-∠AOC=90°-30°=60°
∠COB=∠COD-∠COD=90°-60°=30°
∠AOD=∠AOB+∠COD=90°+30°=120°
∠AOD=120° ∠COB=60°
∠AOD=+∠COB=180° 所以 ∠AOD和∠COB补 ∠COB=∠AOB-∠AOC=90°-30°=60°
∠COB=∠COD-∠COD=90°-60°=30°
∠AOD=∠AOB+∠COD=90°+30°=120°
∠AOD=120° ∠COB=60°
∠AOD=+∠COB=180° 所以 ∠AOD和∠COB补
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