Question

In parallelogram CNWK, ZC and ZK are consecutive interior angles. The

Answer 1

Answer:

$J. \:\:71\degree$

Step-by-step explanation:

CNWK is a $||^{gm}$

$\therefore m\angle C + m\angle K = 180\degree$

(Adjacent angles of a parallelogram)

$\therefore (4a+7)\degree + (7a-3)\degree = 180\degree\\\\\therefore (4a+7+7a - 3)\degree = 180\degree\\\\\therefore (11a+4)\degree = 180\degree\\\\\therefore 11a+4 = 180\\\\\therefore 11a= 180-4\\\\\therefore a= \frac{176}{11}\\\\\therefore a= 16\\\\\because m\angle C = (4a+7)\degree\\\\\therefore m\angle C = (4\times 16+7)\degree\\\\\therefore m\angle C = (64+7)\degree\\\\\huge \orange {\boxed {\therefore m\angle C = 71\degree}}$