Answer:
38
Step-by-step explanation:
Quadrilateral ABCD is a parallelogram.
So, AD ∣∣ BC
∴ ∠DAC = ∠ACB --- ( Alternate angle)
∴ ∠ACB = 32
∘
∠AOB + ∠BOC = 180
--- (straight angle)
⇒70
+ ∠BOC = 180
∴ ∠BOC = 110
In △BOC,
∠OBC + ∠BOC + ∠OCB = 180
⇒∠OBC + 110
+ 32
= 180
⇒ ∠OBC = 38
∴ ∠DBC = 38
solution
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Answers & Comments
Answer:
38
Step-by-step explanation:
Quadrilateral ABCD is a parallelogram.
So, AD ∣∣ BC
∴ ∠DAC = ∠ACB --- ( Alternate angle)
∴ ∠ACB = 32
∘
∠AOB + ∠BOC = 180
∘
--- (straight angle)
⇒70
∘
+ ∠BOC = 180
∘
∴ ∠BOC = 110
∘
In △BOC,
∠OBC + ∠BOC + ∠OCB = 180
∘
⇒∠OBC + 110
∘
+ 32
∘
= 180
∘
⇒ ∠OBC = 38
∘
∴ ∠DBC = 38
∘
solution