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Vilka [71]
3 years ago
15

I need help ? How can I solve this ?

Mathematics
2 answers:
zvonat [6]3 years ago
5 0
The answer is a if you get it wrong it's all on me
Arturiano [62]3 years ago
3 0

Answer:  (B) ∠A = 146, ∠B = 21, ∠C = 13

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

∠A = 40x - 14      <em>Given</em>

∠B = 29 - 2x       <em>Given</em>

∠C = 9 + x          <em>Given</em>

∠A + ∠B + ∠C = 180°     <em>Triangle Sum Theorem</em>

(40x - 14) + (29 - 2x) + (9 + x) = 180   <em>Substitution</em>

39x + 24 = 180       <em>Simplify (added like terms)</em>

39x = 156         <em>Subtraction Property of Equality</em>

x = 4                 <em>Division Property of Equality</em>

∠A = 40x - 14      = 40(4) - 14     = 160 - 14     = 146

∠B = 29 - 2x   <em>    </em>= 29 - 2(4)       = 29 - 8       =  21

∠C = 9 + x           = 9 + 4             = 13

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