Question

question 12 figure, tell me the answer fast please​

Answer 1

Answer:

∠AOD=∠COD=47° ∠AOC=∠BOD=133°

Step-by-step explanation:

∠AOC+∠BOD=266°

We know, ∠AOD=∠COD , ∠AOC=∠BOD (Vertically oppsite angles)

Now,

∠AOD+∠COD+∠AOC+∠BOD=360°(complete angle)

⇒∠AOD+∠AOD+∠AOC+∠BOC=360°.........................(i)

⇒2∠AOD+266°=360°

⇒2∠AOD=360°-266°

⇒2∠AOD=94°.............................(ii)

⇒∠AOD=94/2=47°

As ∠AOC=∠BOD, putting this value in (i):

∠AOD+∠AOD+∠AOC+∠BOC=360°

⇒2∠AOD+∠AOC+∠BOC=360°

⇒∠AOC+∠BOC=360°-94° [from (ii)]

⇒∠AOC+∠AOC=266°

⇒2∠AOC=266°

⇒∠AOC=266/2=133°

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