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

$∠ A O C + ∠ B O D = 85 °$ ...(ii)

On substituting the value of (ii) in (i) we get,

$∠ C O D + 85 ° = 180 ° \Rightarrow ∠ C O D = 180 ° - 85 ° \Rightarrow ∠ C O D = 95 °$
Hence, (c) is the correct option.

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

In the given figure, AOB is a straight line. If ∠AOC + ∠BOD = 85°, then ∠COD =

(a) 85°

(b) 90°

(c) 95°

(d) 100°