Question

the diagonals of a parallelogram ABCD intersect each other at point o.if angle DAC=32 degree and angle AOB =70degree then angle DBC is
plz fast its urgent

Answer 1

Answer:

∠DBC = 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  

∘