Question

look at this diagram: if (overleftrightarrow{gi}) and (overleftrightarrow{jl}) are parallel lines and (mangle ghk = 67^{circ}), what is (mangle lkh?)

Explanation:

Step1: Identify angle - relationship

$\angle GHK$ and $\angle LKH$ are alternate - interior angles.

Step2: Apply property of alternate - interior angles

When two parallel lines are cut by a transversal, alternate - interior angles are congruent. So, $m\angle LKH=m\angle GHK$.

Answer:

$67$