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In GHI, HI = IHG =3x + 4, and IGH = 2x - 24. What is HIG?

In GHI, HI = IHG =3x + 4, and IGH = 2x - 24. What is HIG?-example-1
User Meko
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2 Answers

2 votes
HIG=16×44=704 its correct okke mmm
User STLMikey
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HI = GH so GHI is an isosceles triangle

<IGH = <HIG = 2x - 24

as you know sum of interior angles in a triangle = 180
so
2(2x - 24) + 3x + 4 = 180
4x - 48 + 3x + 4 = 180
7x - 44 = 180
7x = 224
x = 32

so
<HIG = <IGH = 2(32) - 24 = 64 - 24 = 40

answer
m<HIG = 40 degrees
User Liang Wu
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