Question

If OD is perpendicular to AB, and <DOC = 30°, <BOC - <AOC=______________ 0.​

Answer 1

Answer:

1.According to the question, ∠DOC = 30° and OD is perpendicular to AB.

Therefore, ∠AOD = 90° and ∠BOD = 90°.

2.Also, ∠DOC + ∠AOC = ∠AOD

⇒ 30° + ∠AOC = 90° (As, ∠AOD = 90° and ∠DOC = 30°)

⇒ ∠AOC = 90° - 30°

⇒ ∠AOC = 60°

3.Now, ∠BOC - ∠AOC = ∠BOD + ∠DOC - ∠AOC (As, ∠BOC = ∠BOD + ∠DOC)

= 90° + 30° - 60° (As, ∠BOD = 90°, ∠DOC = 30° and ∠AOC = 60°)

= 60°

4.Therefore, ∠BOC - ∠AOC = 60°

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

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