Question

look at this diagram: if (overrightarrow{gi}) and (overrightarrow{jl}) are parallel lines and (mangle lkh = 64^{circ}), what is (mangle ihf?)

Explanation:

Step1: Identify angle - relationship

$\angle LKH$ and $\angle IHF$ are corresponding angles.

Step2: Apply property of parallel lines

When two parallel lines are cut by a transversal, corresponding angles are congruent. So $m\angle IHF=m\angle LKH$.

Answer:

$64$