Answer:
x = 9
[tex] m\angle 1= 59\degree [/tex]
Step-by-step explanation:
Since, [tex] \angle 1 \:and \:\angle 3[/tex] are vertical angles.
[tex]\therefore m\angle 1 = m\angle 3\\
\therefore (5x + 14) \degree= (7x - 4) \degree\\
\therefore (5x + 14) = (7x - 4) \\
\therefore 5x - 7x = - 4 - 14\\
\therefore -2 x = - 18\\\\
\therefore x =\frac{-18}{-2}\\\\
\huge \orange {\boxed {\therefore x = 9}} \\\\
m\angle 1 = (5x + 14) \degree\\
m\angle 1 = (5\times 9+ 14) \degree\\
m\angle 1 = (45+ 14) \degree\\
\huge \purple{ \boxed{m\angle 1 =59\degree}}[/tex]
