In the adjoining figure, COD is a right angle AOC and BOD are in the ratio of 3 : 2.
Find the measure of BOD
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Answer:
As we can see from the figure, ∠AOC+∠COD+∠DOB=180
∘
…eqn(1)
It is given, ∠COD=90
∘
and
∠BOD
∠AOC
=
2
3
∠AOC=
2
3
∠BOD
Putting values in eqn (1), we get
⇒1.5∠BOD+90+∠BOD=180
⇒2.5∠BOD=90
⇒∠BOD=36
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