Question

look at this diagram: if (overleftrightarrow{ik}) and (overleftrightarrow{ln}) are parallel lines and (mangle{jim}=68^{circ}), what is (mangle{nmt})?

Explanation:

Step1: Identify angle - type relationship

$\angle JIM$ and $\angle NMT$ are corresponding angles.

Step2: Apply parallel - lines property

When two parallel lines are cut by a transversal, corresponding angles are congruent. Since $\overleftrightarrow{IK}$ and $\overleftrightarrow{LN}$ are parallel and $\angle JIM = 68^{\circ}$, then $\angle NMT=\angle JIM$.

Answer:

$68$