Question

1. the diagram below shows the parallel top and bottom shelves of a television stand. the measure of ∠5 is 54°. what is the measure of ∠4?

Explanation:

Step1: Identify angle - pair relationship

$\angle4$ and $\angle5$ are alternate interior angles. Since the top and bottom shelves are parallel, alternate - interior angles are congruent.

Step2: Determine the measure of $\angle4$

Given $\angle5 = 54^{\circ}$, and $\angle4=\angle5$ (alternate interior angles), so $\angle4 = 54^{\circ}$.

Answer:

$54^{\circ}$