Question

Can you conclude from the information given for the exercise that $\overrightarrow{XY}\perp \overrightarrow{XZ}$?

$m\angle 1=m\angle 4$

Short answer

The relation between the provided lines cannot be concluded.

Step-by-step solution

Step 1. Definition of congruent angles.

Angles having the same measurement are referred as the congruent angles.

Step 2. Definition of perpendicular lines.

The definition of perpendicular lines states that the relation between two lines is perpendicular when the measurement of angles formed by those lines is equal to 90°.

Step 3. Make the conclusion.

The definition of perpendicular line does not match with the relation between the provided angles because the measurement is not given. So the relation between the provided lines cannot be concluded.