Question

geometry > d.4 transversals of parallel lines: find angle measures w89 look at this diagram: if (overline{il}) and (overline{mo}) are parallel lines and (mangle cnp = 138^{circ}), what is (mangle lkn?)

Explanation:

Step1: Identify angle - relationship

$\angle CNP$ and $\angle LKN$ are corresponding angles. When two parallel lines are cut by a transversal, corresponding angles are congruent.

Step2: Determine the measure of $\angle LKN$

Since $\angle CNP = 138^{\circ}$ and $\angle LKN\cong\angle CNP$, then $m\angle LKN=138^{\circ}$.

Answer:

$138$