In the diagram GH bisects ∠FGI

Mathematics

1 answer:

Sonbull [250]3 years ago

7 0

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°

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