Question

In the diagram GH bisects ∠FGI

Answer 1

Answer:

The answer to your question is:

a) ∠FGH = 34°

b) ∠HGI = 34°

c) ∠FGI = 68°

Step-by-step explanation:

We know that GH bisects ∠FGI

a) Find ∠FGH

∠ FGH = 5x - 6

∠ HGI = 6x -14

                      ∠ FGH = ∠ HGI

                     5x - 6   =  6x - 14

                    5x - 6x = -14 + 6

                          -1x = - 8

                            x = 8

∠ FGH = 5(8) - 6

            = 40 - 6

            = 34°          

b) m∠HGI = 6(8) -14

                = 48 - 14

                =  34°          

c) m∠FHI =  ∠ FGH + ∠ HGI

                = 34 + 34

               = 68°