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Cloud [144]
3 years ago
8

Can someone help me with this? I am not understanding this and the diagram Thanks

Mathematics
1 answer:
Pavel [41]3 years ago
7 0

Answer:

a) m∠FGH= 28°

b) m∠HGI =  28°

c) m ∠FGI =  56°

Step-by-step explanation:

GH bisects ∠FGI. So, ∠FGH = ∠HGI

    5x - 2   = 6x -8

     5x - 6x = 2 - 8

              -x = - 6

               x = 6

a) m∠FGH = 5x - 2 = 5 * 6 - 2 = 30 - 2 = 28°

b) m∠HGI = 6x - 8  = 6 * 6 - 8  = 36 - 8 = 28°

c) m ∠FGI = m∠FGH + m∠HGI = 28° +28° = 56°

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