Answer:
x = 50
Step-by-step explanation:
[tex] m\angle ACB = m\overset {\frown} {AB} \\
\therefore m\angle ACB = 110°\\
\therefore m (reflex\angle ACB) = 360°- 110°\\
\therefore m (reflex\angle ACB) = 250°\\
Now \\
m\overset {\frown} {ADB}= m (reflex\angle ACB) \\
\therefore (4x + 50)°= 250°\\
\purple {\boxed {\bold {\therefore 4x + 50= 250}}} \\
(which\: is \: required\: equation) \\
\therefore 4x = 250-50\\
\therefore 4x = 200\\
\therefore x = \frac{200}{4}\\
\huge \red {\boxed {\therefore x = 50}} \\[/tex]
