Question

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.

Answer 1

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