triangle lmn has vertexes at L(-1,-6), M(1,-6), and N(1,1). Find the measure of angle N to the nearest degree.

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10-02-2017
Mathematics

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triangle lmn has vertexes at L(-1,-6), M(1,-6), and N(1,1). Find the measure of angle N to the nearest degree.

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jdoe0001 jdoe0001 · Answer 1 · 2017-02-10T18:43:08-05:00

now... notice the picture

now, how many units in the adjacent side,
and how many in the opposite side

let us notice is a right-triangle, thus

\(\bf tan(\theta)=\cfrac{opposite}{adjacent}\implies \theta=tan^{-1}\left( \cfrac{opposite}{adjacent} \right)\\\\ -----------------------------\\\\ thus \\\\ tan(N)=tan(\theta)=\cfrac{opposite}{adjacent}\implies \measuredangle N==tan^{-1}\left( \cfrac{opposite}{adjacent} \right)\)

when taking the tangent, make sure your calculator is in Degree mode, since you're asked to give angle N in degrees