Answer:
[tex]\begin{gathered} 1.\text{ x=28} \\ 2.\text{ x=11} \end{gathered}[/tex]Step-by-step explanation:
1. Notice that these angles are vertical angles which are angles opposite each other when two lines cross, they share the same vertex. Vertical angles are congruent angles.
Therefore,
[tex]\begin{gathered} 3x=84 \\ x=\frac{84}{3} \\ x=28 \end{gathered}[/tex]2. In this case, the angles shown are complementary, which mean they must add up 90 degrees:
[tex]\begin{gathered} 46+4x=90 \\ 4x=90-46 \\ 4x=44 \\ x=\frac{44}{4} \\ x=11 \end{gathered}[/tex]