Question

lines kl and mo are parallel in the figure below. what is the relationship between ∠lij and ∠oji? select if m∠hij = 75, what is m∠ihj? select

Explanation:

Step1: Identify angle - pair relationship

Since lines KL and MO are parallel, ∠LIJ and ∠OJI are alternate - interior angles. Alternate - interior angles are congruent when two parallel lines are cut by a transversal.

Step2: Analyze triangle for second part

In triangle IHJ, if we assume no other information about the triangle's angles except ∠HIJ = 75°, and if we assume the triangle is a right - triangle with a right - angle at ∠IHJ, then using the fact that the sum of angles in a triangle is 180°. Let ∠IHJ=x, ∠HIJ = 75° and assume the third angle is 90°. So, x+75° + 90°=180°. Solving for x gives x = 180°-(75° + 90°)=15°.

Answer:

1. Relationship between ∠LIJ and ∠OJI: Alternate - interior angles
2. If ∠HIJ = 75° (assuming right - triangle at ∠IHJ): 15°