Question

triangle nop is formed by connecting the mid - points of the side of triangle klm. the measures of the interior angles of triangle klm are shown. find the measure of ∠lon. figures not necessarily drawn to scale.

Explanation:

Step1: Recall mid - point theorem property

By the mid - point theorem, $NO\parallel KM$.

Step2: Identify corresponding angles

$\angle LON$ and $\angle M$ are corresponding angles.

Step3: Determine angle measure

Since $\angle M = 61^{\circ}$, then $\angle LON=61^{\circ}$.

Answer:

$61^{\circ}$