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.

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.