what is the answer to x if (3x-3)+(4x-14)

Question

I am doing geometry homework and it states that in the diagram GH (there is an arrow over the GH) bisects LFGI. Solve for x and find mLHGI. Find mLHGI. Find mLFGI.

There is a picture of an angle with the vertex being G and there is an angle LFGI and the angle LGH bisects the other the interior of the angles are as follows: LFGH is(3x-3) and the interior for the angle LHGI is (4x-14) and I am supposed to solve for x.

Answer 1

<HGI=<FGH

4x-14=3x-3

x=11

m<HGI =4(11) -14=30