Question

look at this diagram; if (overleftrightarrow{ik}) and (overleftrightarrow{ln}) are parallel lines and (mangle{nmo}=137^{circ}), what is (mangle{kjm})?

Explanation:

Step1: Identify angle - relationship

$\angle NMO$ and $\angle KJM$ are corresponding angles.

Step2: Apply property of corresponding angles

For parallel lines $IK$ and $LN$ cut by a transversal, corresponding angles are equal. So $m\angle KJM=m\angle NMO$.

Answer:

$137$