Question

look at this diagram: if $overleftrightarrow{gi}$ and $overleftrightarrow{jl}$ are parallel lines and $mangle lkh = 140^{circ}$, what is $mangle ghk?$

Explanation:

Step1: Identify angle relationship

Consecutive interior angles are supplementary.

Step2: Calculate angle GHK

$m\angle GHK = 180^\circ - m\angle LKH = 180^\circ - 140^\circ = 40^\circ$

Answer:

40