Question

What is the answer to this question

Answer 1

Remark

There's a lot you don't know here. Are DE and GF parallel? Is B a right angle? You can't assume that it is. The safest way to proceed is to give x in terms of 58 and B. You might get an answer that gives you something like 32 but I don't think you can say that unless you are told somewhere that ABC is a right angle triangle with the right angle at B.

So what to do.

<BAC = 58o                               That's because <BAC = <IAK They vertically opposite.

<ABC + <BAC + <ACB = 180o       All triangles have 180o

<ACB = 180 - 58 - <ABC                Solve for an unknown angle of a triangle.

<ACB = 122 - <ABC

x = <ACB                                       Vertically opposite angles.

x = 122 - <ABC                             Answer  It's 32 if ABC is a right angle.