I need help please

Given:

and .

To find:

Whether is possible or not.

Solution:

We have,

                     (CPCTC)

             ...(i)

And,

             ...(ii)        (Vertically opposite angles)

From (i) and (ii), we get

             ...(iii)

Now,

         (Linear pair)

            (Using (iii))

Divide both sides by 2.

The measure of angle 1 is 49 degrees so it cannot be equal to 47 degrees.

Therefore, the required answer is "no", the given statement is not possible.

df =

both have same length