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Reil [10]
3 years ago
8

M<KGH=x+161,m<FGK=x+41,and m<FGH=180° Find x

Mathematics
1 answer:
Butoxors [25]3 years ago
4 0

Answer: x = -11   ∠FGK = 30°   ∠KGH = 150°

<u>Step-by-step explanation:</u>

∠FGK + ∠KGH = ∠FGH    <em>Segment Addition Postulate</em>

x + 41 + x + 161 = 180       <em>Substitution</em>

2x + 202 = 180  <em>               Simplify (added like terms)</em>

2x = -22                            <em>Subtraction Property of Equality</em>

x = -11                               <em>Division Property of Equality</em>

 

∠FGK = x + 41     = (-11) + 41    = 30

∠KGH = x + 161   = (-11) + 161   = 150

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