Question

lines kl and mo are parallel in the figure below. what is the relationship between ∠lij and ∠oji? alternate interior angles. if m∠hij = 75, what is m∠ihj? select select 100 105 75 80

Explanation:

Step1: Recall angle - relationship property

Since lines KL and MO are parallel, ∠HIJ and ∠IHJ are same - side interior angles. Same - side interior angles of parallel lines are supplementary, meaning their sum is 180°.

Step2: Calculate m∠IHJ

Let m∠IHJ=x. We know that m∠HIJ = 75°. Using the supplementary - angle property, we have x+75°=180°. Solving for x gives x = 180° - 75°=105°.

Answer:

105