Question

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

Explanation:

Step1: Recall corresponding - angles definition

Corresponding angles are in the same relative position at each intersection where a straight - line crosses two others. If the two lines are parallel, corresponding angles are equal.

Step2: Analyze each pair

• For ∠NMJ and ∠KJH: They are in the same relative position with respect to the transversal HO and the two lines IK and LN, so they are corresponding angles.
• For ∠IJH and ∠NMO: They are in the same relative position with respect to the transversal HO and the two lines IK and LN, so they are corresponding angles.
• For ∠NMO and ∠KJM: They are not in the same relative position at the intersections, so they are not corresponding angles.
• For ∠IJH and ∠LMO: They are in the same relative position with respect to the transversal HO and the two lines IK and LN, so they are corresponding angles.

Answer:

∠NMJ and ∠KJH, ∠IJH and ∠NMO, ∠IJH and ∠LMO