Question 1

Angle 4 and Angle _______ are vertical angles.
(A) Angle 1
(B) Angle 2
(C) Angle 3

Question 2

Answer:

$\large\boxed{\textsf{Angle 1}}$

Explanation:

$\textsf{We are asked which angles are Vertical Angles.}$

$\textsf{Let's review what Vertical Angles actually are.}$

$\Large\underline{\textsf{What are Vertical Angles?}}$

$\textsf{Vertical Angles are 2 angles that are opposite from each other.}$

$\textsf{Vertical Angles share the same lines that remain straight, hence they're \underline{congruent}.}$

$\textsf{We have 3 options, let's review over them all.}$

$\large\underline{\textsf{Angle 1:}}$

$\textsf{Angle 1 is opposite from Angle 4, and they share the same, straight lines.}$

$\large\boxed{\textsf{Angle 1}}$

$\large\underline{\textsf{Angle 2:}}$

$\textsf{Angle 2 is not opposite from Angle 4. These angles form a Linear Pair.}$

$\Large\underline{\textsf{What are Linear Pairs?}}$

$\textsf{Linear Pairs are 2 adjacent angles that have a combined sum of 180}^(\circ).$

$\large\underline{\textsf{Angle 3:}}$

$\textsf{Angle 1 is on the opposite side of Angle 4, but they aren't really opposite.}$

$\textsf{Instead, Angle 3 and Angle 4 form a Linear Pair as well.}$

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