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Find the measure of the remote exterior angle.

 

 Jul 13, 2020
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We want to find the value of the remote exterior angle, \(m\angle{x}\), which is the sum \(m\angle{y} + m\angle{z}\). We can write \(m\angle{x} = m\angle{y} + m\angle{z}\).

 

We can replace these variables with the expressions given. We have \((198 - 5n) = (5n + 37) + (n + 7)\).

 

Solving for \(n\), we get \(n = 14\). We want to find \(m\angle{x}\), so let's substitute \(14\) for \(n\) in \(198 - 5n\), which is what \(m\angle{x}\)  equals.

 

Solving \(m\angle{x} = 198 - 5 (14)\), we get \(m\angle{x} = 128\). The answer is D.

 Jul 13, 2020

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