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Adjacent Angles

In the given ...

Question

In the given figure, BD is a line segment and ∠BOA = 40°. The measure of ∠BOC is equal to

A

50°

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B

60°

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C

80°

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D

90°

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Solution

The correct option is B 60°

Given: ∠BOA = 40°
∴ x = 40°
⇒ ∠COD = 3x = 3 × 40° = 120° …..(i)
Since BD is a straight line.
∴ ∠BOC + ∠COD = 180° (Linear pair)
⇒ ∠BOC = 180° – 120° [From (i)]
⇒ ∠BOC = 60°
Hence, the correct answer is option (b).

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