Question

ik and ln are parallel lines. which angles are alternate interior angles? ∠ijm and ∠nmj ∠ijm and ∠jjh ∠ijm and ∠kjm ∠ijm and ∠kjh

Explanation:

Step1: Recall the definition of alternate interior angles

Alternate interior angles are non - adjacent interior angles that lie on opposite sides of the transversal when two parallel lines are cut by a transversal.

Step2: Analyze each pair

• For \(\angle IJM\) and \(\angle NMJ\):
• Lines \(IK\) and \(LN\) are parallel, and \(OH\) is the transversal.
• \(\angle IJM\) and \(\angle NMJ\) are non - adjacent interior angles and lie on opposite sides of the transversal \(OH\).
• For \(\angle IJM\) and \(\angle JJH\): \(\angle JJH\) is not an interior angle formed by the parallel lines \(IK\) and \(LN\) and the transversal \(OH\).
• For \(\angle IJM\) and \(\angle KJM\): These are adjacent angles, not alternate interior angles.
• For \(\angle IJM\) and \(\angle KJH\): \(\angle KJH\) is not an interior angle formed by the parallel lines \(IK\) and \(LN\) and the transversal \(OH\).

Answer:

\(\angle IJM\) and \(\angle NMJ\)