Question

select all the pairs of alternate exterior angles.
∠kjm and ∠lmj ∠kjh and ∠lmo
∠nmo and ∠ijh ∠ijm and ∠nmj

Explanation:

Step1: Recall Alternate Exterior Angles Definition

Alternate exterior angles are formed when a transversal crosses two parallel lines. They lie outside the two lines and on opposite sides of the transversal.

Step2: Analyze Each Pair

• ∠KJH and ∠LMO: ∠KJH is outside the lines \(IK\) and \(LN\), above the transversal \(HO\). ∠LMO is outside the lines \(IK\) and \(LN\), below the transversal \(HO\), and on the opposite side of the transversal. So this is a pair of alternate exterior angles.
• ∠NMO and ∠IJH: ∠NMO is outside the lines \(IK\) and \(LN\), below the transversal \(HO\). ∠IJH is outside the lines \(IK\) and \(LN\), above the transversal \(HO\), and on the opposite side of the transversal. So this is a pair of alternate exterior angles.
• ∠KJM and ∠LMJ: These are interior angles (between the two lines \(IK\) and \(LN\)), not exterior.
• ∠IJM and ∠NMJ: These are interior angles (between the two lines \(IK\) and \(LN\)), not exterior.

Answer:

∠KJH and ∠LMO, ∠NMO and ∠IJH