Question

look at this diagram: if (overrightarrow{gi}) and (overrightarrow{jl}) are parallel lines and (mangle ghk = 46^{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:

$46$