Question

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

Explanation:

Step1: Recall the mid - point theorem property

When a triangle is formed by connecting the mid - points of the sides of another triangle, the new triangle is similar to the original triangle and the corresponding angles are equal.

Step2: Identify the corresponding angle

In triangle $JKL$ and the triangle $MNO$ formed by mid - points, $\angle LON$ corresponds to $\angle LJK$. Given $\angle LJK = 67^{\circ}$, so $\angle LON=67^{\circ}$.

Answer:

$67^{\circ}$