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Angelina_Jolie [31]
3 years ago
13

Find the measures of the supplementary angles if their difference is equal to 35°

Mathematics
1 answer:
skad [1K]3 years ago
5 0

Set up a system of equations using the sum and difference equation.

    x + y = 180      <em>definition of supplementary angles</em>

+    <u>x - y = 35</u>  

     2x   = 215    

       x   = 107.5

x + y = 180  ⇒  107.5 + y = 180   ⇒   y = 72.5

Answer: 107.5 and 72.5

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