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Question -

In the given figure, ABCD is a parallelogram in which ∠DAB = 75° and ∠DBC = 60°. Compute ∠CDB and ∠ADB.



Answer -

The figure is given as follows:
 
It is given that ABCD is a parallelogram.
Thus  
And  are  alternate interior opposite angles.
Therefore,
 
  …… (i)
We know that the opposite angles of a parallelogram are equal. Therefore,
Also, we have  
Therefore,
  …… (ii)
In  
By angle sum property of a triangle.
 
From (i) and (ii),we get:
 
Hence, the required value for   is  
And   is  .

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