Answer:
[tex]y=58.67^{\circ}[/tex]
[tex]x=121.33^{\circ}[/tex]
Step-by-step explanation:
We are given that two angles are supplementary .
We have to write an equation that can be used to find the measures.
Let x and y are supplementary
According to question
[tex]x+y=180^{\circ}[/tex]( by definition of supplementary angles)
[tex]x=2y+4[/tex]
Substitute the value then we get
[tex]2y+4+y=180[/tex]
[tex]3y=180-4[/tex]
[tex]3y=176[/tex]
[tex]y=\frac{176}{3}[/tex]
[tex]y=58.67^{\circ}[/tex]
Substitute the value then, we get
[tex]x+58.67=180[/tex]
[tex]x=180-58.67[/tex]
[tex]x=121.33^{\circ}[/tex]
