J=(7x+13) K=(83-2x) and the sum of the measures of the angles is 141. What is the measure of each angle

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Je2006idn Je2006idn

05-04-2022
Mathematics

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J=(7x+13) K=(83-2x) and the sum of the measures of the angles is 141. What is the measure of each angle

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Festus19idn Festus19idn · Answer 1 · 2022-04-08T11:23:22-04:00

Festus19idn Festus19idn

08-04-2022

Answer:

j=76 and k=65

Step-by-step explanation:

[tex]j + k = 141 \\ 7x + 13 + 83 + - 2x = 141 \\ 96 + 5x = 141 \\ 5x = 141 - 96 \\ 5x = 45 \\ x = \frac{45}{5} \\ x = 9 \\ j = (7 \times 9 + 13) \\ j =76 \\ k = 83 - 2(9) \\ = 83 - 18 \\ = 65[/tex]

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