Question

In the given figure, AOB is a straight line. ∠AOC = 67° and OD is the bisector of ∠BOC. What is the value of ∠BOD in degrees?

• A. 56.5°
• B. 55°
• C. 55.5°
• D. 56°

Answer 1

Answer:

A. 56.5°

Solution: According to the question, AOB is the straight line ⇒ ∠AOB = ∠AOC + ∠BOC = 180° (linear pair angles) ⇒ 180° = 67° + ∠BOC ⇒ ∠BOC = 113° ∵ OD is bisector of ∠BOC ∴ ∠COD = ∠BOD = 1/2 × ∠BOC = 1/2 × 113° = 56.5°