Question

Questions 3, 4, and 5.

Answer 1

Answers:

• Reason 2) Given. Specifically, the diagram shows that the two angles are adjacent and supplementary, which is why the two angles are a linear pair.
• Reason 3) Definition of Linear Pair. As stated above, a linear pair of angles add to 180 degrees (they are supplementary).
• Statement 4) $m \angle WZX = 90 \text{ and } m \angle WZV = 90$ since the term "right angle" is another way of saying "90 degree angle"
• Statement 5) $\overset{\leftarrow -\rightarrow}{WY} \perp \overset{\leftarrow -\rightarrow}{XV}$ The upside down "T" symbol means "perpendicular". Perpendicular lines form 90 degree angles at the intersection.

Side note: The double arrow over WY and XV in statement 5 is supposed to be an unbroken line.