Answer:
[tex] J. \:\:71\degree[/tex]
Step-by-step explanation:
CNWK is a [tex] ||^{gm} [/tex]
[tex] \therefore m\angle C + m\angle K = 180\degree [/tex]
(Adjacent angles of a parallelogram)
[tex] \therefore (4a+7)\degree + (7a-3)\degree = 180\degree\\\\
\therefore (4a+7+7a - 3)\degree = 180\degree\\\\
\therefore (11a+4)\degree = 180\degree\\\\
\therefore 11a+4 = 180\\\\
\therefore 11a= 180-4\\\\
\therefore a= \frac{176}{11}\\\\
\therefore a= 16\\\\
\because m\angle C = (4a+7)\degree\\\\
\therefore m\angle C = (4\times 16+7)\degree\\\\
\therefore m\angle C = (64+7)\degree\\\\
\huge \orange {\boxed {\therefore m\angle C = 71\degree}} \\\\
[/tex]
