Question

two distinct lines, $ell$ and $m$, are each perpendicular to the same line $n$. 8. what is the measure of the angle where line $ell$ meets line $n$? draw a picture if it helps you!

Explanation:

Step1: Recall perpendicular - line property

If two lines $\ell$ and $m$ are each perpendicular to a third line $n$, then $\ell\parallel m$ (in a plane). When two parallel lines are considered, the angle between two non - parallel lines related to them is based on the properties of perpendicular lines. Since $\ell\perp n$ and $m\perp n$, the angle between $\ell$ and $m$ is $0^{\circ}$ or $180^{\circ}$ (in the context of the orientation of the lines in the plane). When we consider the angle where line $\ell$ meets line $m$, if we assume a standard orientation, the measure of the angle between two lines that are both perpendicular to a third line is $0^{\circ}$ (if they are in the same direction) or $180^{\circ}$ (if they are in opposite directions). In the most common geometric sense of the angle between two distinct lines in a plane, we consider the non - reflex angle, so the measure of the angle where line $\ell$ meets line $m$ is $0^{\circ}$.

Answer:

$0^{\circ}$