Question

How do I get the answer for missing Vertical angles?

Answer 1

Vertical Angles are pairs of opposite angles made by intersecting lines. Graphically:

If two angles are vertical, then they are congruent, that is, they have the same measure.

In this case, we can see that angles ∠1 and ∠3 are vertical, then the measure of ∠3 is:

`\begin{gathered} m\angle1=m\angle3 \\ m\angle1=33.4\text{\degree} \\ \boldsymbol{m\angle3=33.4}{\boldsymbol{\degree}} \end{gathered}`

Also, we can see that angles ∠2 and ∠4 are vertical, then the measure of ∠4 is:

`\begin{gathered} m\angle2=m\angle4 \\ m\angle2=146.6\text{\degree} \\ $$\boldsymbol{m\angle4=146.6}$$\text{\degree} \end{gathered}`