Question

look at this diagram: if (overleftrightarrow{hj}) and (overleftrightarrow{km}) are parallel lines and (mangle hil = 63^{circ}), what is (mangle mli?)

Explanation:

Step1: Identify angle - relationship

Since $\overleftrightarrow{HJ}$ and $\overleftrightarrow{KM}$ are parallel lines and $\angle HIL$ and $\angle MLI$ are alternate - interior angles.

Step2: Apply alternate - interior angles theorem

Alternate - interior angles formed by two parallel lines and a transversal are congruent. So $m\angle MLI=m\angle HIL$.

Answer:

$63$