Find the measure of angle C.

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Mathematics

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Explanation & Answer

(8x+3) + (5x+15) + (7x+2) = 180       Reason:  Triangle Sum Theorem

20x + 20 = 180                                                  Combining Like terms

        -20      -20                                          

20x = 160                                                           Subtraction

x = 8


<C = 5x+15

         5(8)+15                                                   Substitution

         40+15

         55


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