Answer:
[tex]m\angle 4 = 117\textdegree[/tex]
Step-by-step explanation:
-Both [tex]\angle 1[/tex]and [tex]\angle 4[/tex] are supplementary, which they both equal to [tex]180\textdegree[/tex]. So, to get the measurement of [tex]\angle 4[/tex], you need to subtract measure of [tex]\angle 1[/tex], from [tex]180\textdegree[/tex] :
-Both [tex]\angle 1[/tex] and [tex]\angle 4[/tex] are supplementary:
[tex]\angle 1 + \angle 4 = 180\textdegree[/tex]
-Find the [tex]m \angle 4[/tex] by subtracting the [tex]m \angle 1[/tex] from [tex]180[/tex] :
[tex]180\textdegree - 63\textdegree = 117\textdegree[/tex]
So, the [tex]m\angle 4[/tex] is [tex]117\textdegree[/tex] .
