Question

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

$m\angle 1=46$and$m\angle 4=44$

Short answer

The relation between the provided lines cannot be concluded.

Step-by-step solution

Step 1. Observe the given statement and figure.

The given angles are having different measurements.

Step 2. Use the observation according to the definition of perpendicular lines.

The observation of statement do not relate with the definition of perpendicular lines that is the relation between two lines is perpendicular when the measurement of angles formed by those lines is equal to each other.

Step 3. Make the conclusion.

As the definition of perpendicular line does not match with the provided statement so the relation between the provided lines cannot be concluded.