Question

determine whether the statement can be assumed from the given figure. explain. ∠4 and ∠7 are vertical angles. select choice ; the angles are select choice and are formed by two select choice lines.

Explanation:

Step1: Recall vertical angles definition

Vertical angles are opposite angles formed by two intersecting lines, and they are congruent.

Step2: Analyze ∠4 and ∠7

From the figure, ∠4 and ∠7 are opposite angles formed when two lines intersect (the two lines that form these angles intersect at a point, creating vertical angles). So, ∠4 and ∠7 are vertical angles, so the first "Select Choice" is "Yes", the second is "congruent" (since vertical angles are congruent), and the third is "intersecting".

Answer:

First Select Choice: Yes; Second Select Choice: congruent; Third Select Choice: intersecting