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Zigmanuir [339]
3 years ago
8

I need help pleaseeee!!

Mathematics
1 answer:
fenix001 [56]3 years ago
8 0

a) Since ∠FGI is bisected, that means <em>∠FGH and ∠HGI are congruent</em>.

Therefore, <em>5x - 3 = 6x - 8</em>

x to one side: 6x - 5x = -3 + 8

Subtract: x = 5

Plug in: m∠FGH = 5(5) - 3

Simplify: 25 - 3 = 22

m∠FGH = 22°

b) Since ∠FGH is congruent to ∠HGI, m∠FGH = m∠HGI.

Through substitution, m∠HGI = 22°

c) ∠FGI is ∠FGH and ∠HGI combined, so m∠FGI = m∠FGH + m∠HGI

Substitute: m∠FGI = 22° + 22°

Add: m∠FGI = 44°

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