In cyclic quadrilateral ABCD, ∠A = 3 ∠C and ∠D = 5 ∠B. Find the measure of each angle of the quadrilateral.

Given, cyclic quadrilateral

   

So,

   

[Opposite angles in a cyclic quadrilateral is supplementary]

   

   

   

Now,

   

   

 

Similarly,

   

  

   

   

Or,

   

   

Now,

   

   

Therefore,