In the adjoining figure, ∠APO=42o and ∠CQO=38o. Find the value of ∠POQ.
68o
72o
80o
126o
A
68o
B
72o
C
80o
D
126o
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Solution
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From the figure, we have
∠1=∠2∠3=∠4
To find the value of ∠POQ, we have
∠POQ=∠2+∠3
=∠1+∠4
=∠APO+∠CQO
=42+38 ..... given
=80∘
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