Answer:
x = 11°
4x = 44°
Step-by-step explanation:
Line BC || Line EF... (given)
BF is transversal.
[tex] \angle BFG + \angle BFE = 180\degree\\.. (straight \: line \: \angle 's) \\
+ \angle BFE = 180\degree\\
\angle BFE = 180\degree-147\degree \\
\angle BFE = 33\degree\\[/tex]
[tex] \angle BED [/tex] is exterior angle of [tex] \angle EBF [/tex]
Hence, by remote interior angle theorem of triangle, we have:
[tex] m\angle BED = m\angle EBF + \angle BFE \\
4x = x + 33\degree \\
4x - x = 33\degree \\
3x = 33\degree \\
x = \frac{33}{3}\\
\huge \purple {\boxed {x = 11\degree}} \\
4x = 4\times 11\degree \\
\huge \orange{\boxed {4x = 44\degree}}
[/tex]
