Question

# In the given figure, AOB is a straight line. If ∠AOC + ∠BOD = 85°, then ∠COD = (a) 85° (b) 90° (c) 95° (d) 100°

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Solution

## It is given that is a straight line. Also,,and form a linear pair. Therefore, their sum must be supplementary. That is ...(i) It is given that $\angle AOC+\angle BOD=85°$ ...(ii) On substituting the value of (ii) in (i) we get, $\angle COD+85°=180°\phantom{\rule{0ex}{0ex}}⇒\angle COD=180°-85°\phantom{\rule{0ex}{0ex}}⇒\angle COD=95°$ Hence, (c) is the correct option.

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