ANSWER:
1.
Relationship: Supplementary
m
2.
Relationship: Complementary
m
3.
Relationship: Vertical Angles
m
4.
Relationship: Consecutive Angles
m
STEP-BY-STEP EXPLANATION:
1.
These two angles are supplementary, the sum of both is equal to 180 °, therefore
[tex]\begin{gathered} 180=x+57 \\ x=180-57 \\ x=123\text{\degree} \end{gathered}[/tex]
2.
These two angles are complementary, the sum of both is equal to 90 °, therefore
[tex]\begin{gathered} 90=x+26 \\ x=90-26 \\ x=64\text{\degree} \end{gathered}[/tex]
3.
These two angles are vertical angles, which means that they share a vertex, which means that the measure is the same.
TVZ = 89°
4.
In this case they are two angles forming a larger angle, they are consecutive angles, the resulting angle in the sum of both angles:
[tex]\begin{gathered} x=63+48 \\ x=111\text{\degree} \end{gathered}[/tex]
