Question

Please answer the question is in the given photo -

Answer 1

Answer:

⇒∠AOD = ∠BOC (Vertically Opposite Angles)

∠AOD = 55°

⇒∠AOC + ∠BOC = 180° (Angle Sum Property)

∠AOC + 55° = 180°

∠AOC = 180° - 55°

∠AOC = 125°

⇒∠BOD = ∠AOC (Vertically Opposite Angles)

∠BOD = 125°

Hope it helps.

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Answer 2

Answer:

angle AOD = angle BOC ( vertically opposite angles)

angle AOD = 65°

angle AOC + angle AOD = 180° ( linear pair)

angle AOC + 65° = 180°

angle AOC = 180° - 65°

angle AOC = 115°

angle BOD = angle AOC (vertically opposite angles)

angle BOD = 115°

therefore,

angle AOD = 65°

angle AOC = 115°

angle BOD = 115°