Question

In the given figure ABCD, find the value of x.​

Answer 1

Answer:

Step-by-step explanation:

we have to do construction in this figure

construction is draw straingt line EF passing through the point O and parallel to AB AND CD

EFIIABIICD

like this picture

now, ABIIEF

angle B + BOF =180

  140 + BOF = 180

   BOF = 180-140

BOF = 40         ................................(1)

NOW,  CD  is a line

angle CDO + D=180

20 + D= 180

D=180-20

D=160

NOW, EFIICD

angle D + DOF = 180

        160 + DOF = 180

      DOF =180-160

 DOF = 20      .....................(2)

adding the 1 and 2 eqution

BOF + DOF = 40 + 20

     ANGLE BOD =60

              X=60