Question

the diagonals of a rectangle ABCD meet at if O /_ BOC = 56 degree find /_ ODA ?​

Answer 1

Answer:

65 is the right answer.....

Answer 2

Step-by-step explanation:

⇒ ∠BOC=∠AOD [ Vertically opposite angles ]

∴ ∠AOD=44⁰

We know, that diagonals of rectangle are equal and they are bisect each other equally.

∴ OA=OB=OC=OD

In △AOD,

⇒ ∠OAD=∠ODA [ Base angles of equal sides ]

⇒ ∠AOD+∠OAD+∠ODA=180⁰

⇒ 44⁰+∠OAD+∠OAD=180⁰

⇒ 2∠OAD=136⁰

∴ ∠OAD=68⁰

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