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Question
In the given figure, AOB is a straight line. If ∠AOC + ∠BOD = 85°, then ∠COD =
Options
85°
90°
95°
100°
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Solution
It is given that AOC is a straight line.
Also, ∠AOC, ∠BOC, and ∠COD form a linear pair.
Therefore, their sum must be supplementary.
That is
∠AOC + ∠BOD+ ∠COD= 180° ....(1)
It is given that
\[\angle COD + 85^\circ = 180^\circ \]
\[ \Rightarrow \angle OD = 180^\circ - 85^\circ \]
\[ \Rightarrow \angle COD = 95^\circ \]
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