Question

determine whether the statement can be assumed from the given figure. explain. ∠5 and ∠7 form a linear pair. select choice ; the angles select choice adjacent.

Explanation:

Step1: Recall Linear Pair Definition

A linear pair of angles are adjacent angles that form a straight line (sum to \(180^\circ\)) and share a common side and vertex.

Step2: Analyze \(\angle 5\) and \(\angle 7\)

From the figure, \(\angle 5\) and \(\angle 7\) share a common vertex and a common side (the vertical line), and their non - common sides form a straight line (since \(\angle 5\) is a right angle and \(\angle 7\) is adjacent to it on the straight line \(t\) and the vertical line). So they are adjacent and form a linear pair.

Answer:

First "Select Choice": Yes; Second "Select Choice": are (because \(\angle 5\) and \(\angle 7\) share a common side and vertex, and their non - common sides are collinear, satisfying the definition of a linear pair).