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Question

# The ratio of the angle measures in a triangle is 5: 12: 19 . What is the measure of the largest angle?

Solution

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From the given ratio the following holds

$\begin{equation*} \begin{split} 5x+12x+19x&=180^o;\\ 36x&=180^o;\\ x&=5^o;\\ \end{split} \end{equation*}$

The measure of the largest angle is

$\begin{equation*} \begin{split} \textcolor{#4257b2}{19x}&=19\cdot5^o=\textcolor{#4257b2}{95^o};\\ \end{split} \end{equation*}$

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