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Alexeev081 [22]
3 years ago
5

The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five times

the measure of the first angle. The third angle is 10 more than the second.
ANSWER IS : X=30 Y=70=Z=80
Mathematics
1 answer:
mafiozo [28]3 years ago
3 0
  • Answer:

<em>a = 30°</em>

<em>b = 70°</em>

<em>c = 80°</em>

  • Step-by-step explanation:

<em>Hi there ! </em>

<em />

<em>a ; b ; c = angles</em>

<em>a + b + c = 180°</em>

<em>b + c = 5a</em>

<em><u>replace (b + c)</u></em>

<em>a + (b + c) = 180</em>

<em>a + 5a = 180</em>

<em>6a = 180</em>

<em>a = 30°</em>

<em />

<em>b + c = 180 - a</em>

<em>b + c = 150</em>

<em>c = b + 10</em>

<em><u>replace c</u></em>

<em>b + (b + 10) = 150</em>

<em>2b = 150 - 10</em>

<em>2b = 140</em>

<em>b = 70°</em>

<em>c = b + 10</em>

<em>c = 80°</em>

<em>Good luck !</em>

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ANSWER

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EXPLANATION

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