Two angles are supplementary. One angle measure 17 more than three times the other. find the measure of the larger angle.

Mathematics

1 answer:

icang [17]2 years ago

4 0

Answer:

Step-by-step explanation:

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4a/3-b/4=6<br> 5a/6+b=13<br> Solve linear system by elimination

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$\bf \cfrac{4a}{3}-\cfrac{b}{4}=6
\qquad \qquad 
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\\\\\\
\textit{let us remove the denominators off those folks}\\
\textit{by multiplying the first one by 12, both sides}\\
\textit{and the second one by 6, both sides, thus}
\\\\\\
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\\\\\\
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$\bf \textit{now, let's do the elimination}
\\\\

\begin{array}{llll}
16a-4b=72&\boxed{\times 3}\implies &48a-\underline{12b}=216\\\\
5a+6b=78&\boxed{\times 2}\implies &10a+\underline{12b}=156\\
&&--------\\
&&58a+0\quad=372
\end{array}$

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