Question

In Dorjee's field if adjacent angles are in the ratio 3:5 , find all the angles of his field

Answer 1

Dorjee's field's shape is parallelogram.

So, the sum of adjacent angles of parallelogram is 180 degree.
Let,
angles of field are A,B,C,D.
<A=3x
<B=5x
<A+ <B=180
3x+5x=180
8x=180
x=22.5

<A=3x=3 x 22.5=67.5
<B=5x=5 x 22.5=112.5
opposite angles of parallelogram are equal.
So,
<A=<C=67.5 DEGREE
<B=<D=112.5 DEGREE

Answer 2

suppose the shape of the field is a parallelogram (PQRS)
in a parallelogram the opposite angles are equal
adjacent angles ratio= 3:5
=>  3x + 5x = 180
=>  8x=180
=>   x=22.5
adjacent angles are -
3x=3*22.5=67.5
5x=5*22.5=112.5
angleP=angleR=67.5      
angleQ=angleS=112.5    answer