Step-by-step explanation:
1.
(2x-11)° = 105° (vertical angles)
2x - 11 = 105
2x = 105 + 11
2x = 116
x = 116/2
x = 58
[tex] m\angle BEC = (2x - 11)\degree \\
m\angle BEC = (2\times 58-11)\degree \\
m\angle BEC = (116-11)\degree \\
\huge m\angle BEC = 105\degree \\
m\angle AEB =180\degree - 105\degree \\
(straight \: line \: \angle 's) \\
\huge m\angle AEB =75\degree \\
m\angle CED=m\angle AEB = 75\degree\\ (vertical \:\angle' s) \\[/tex]
2.
[tex] (6x + 19)\degree + x \degree = 180\degree \\(straight \: line \: \angle 's) \\
(7x + 19) \degree = 180\degree\\
7x + 19 = 180\\
7x = 180 - 19\\
7x = 161\degree \\
x =\frac{161}{7}\\
x = 23\\
m\angle AEB=(6x + 19)\degree \\
m\angle AEB=(6\times 23+ 19)\degree \\
m\angle AEB=(138+ 19)\degree \\
\huge m\angle AEB=157\degree \\
m\angle CED=m\angle AEB = 157\degree\\ (vertical \:\angle' s) \\
m\angle BEC = x\degree \\
\huge m\angle BEC = 23\degree \\
m\angle AED =m\angle BEC=23\degree \\
(vertical \:\angle' s) \\
[/tex]
