Answer:
[tex]x=22[/tex]
Step-by-step explanation:
We have been given a graph of two parallel lines. We are asked to find the value of x.
We know that corresponding angle corresponding angles of two parallel have equal measure. We can see that angle [tex]4x+28[/tex] and angle with 116 degree measure are corresponding angles, so their measure will be equal.
Upon equating both angles, we will get:
[tex]4x+28=116[/tex]
[tex]4x+28-28=116-28[/tex]
[tex]4x=88[/tex]
[tex]\frac{4x}{4}=\frac{88}{4}[/tex]
[tex]x=22[/tex]
Therefore, the value of x is 22.
