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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asked Jun 20, 2023 87.0k views

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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

Mathematics
college

Mohamed Abed asked

by Mohamed Abed

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1 Answer

5 votes

Answer:

j=76 and k=65

Explanation:

$j + k = 141 \\ 7x + 13 + 83 + - 2x = 141 \\ 96 + 5x = 141 \\ 5x = 141 - 96 \\ 5x = 45 \\ x = (45)/(5) \\ x = 9 \\ j = (7 * 9 + 13) \\ j =76 \\ k = 83 - 2(9) \\ = 83 - 18 \\ = 65$

Jefftopia answered Jun 26, 2023

by Jefftopia

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