Answer:
m∠E = 81°
Step-by-step explanation:
Quadrilateral CDEF is inscribed in a circle, therefore it is cyclic quadrilateral. Opposite angles of a cyclic quadrilateral are supplementary.
[tex]\therefore m\angle C+m\angle E = 180\degree\\\therefore 9x +7x+4\degree = 180\degree\\\therefore 16x+4\degree = 180\degree\\\therefore 16x = 180\degree-4\degree\\\therefore 16x = 176\degree\\\therefore x = \frac{176\degree}{16}\\\therefore x =11\degree\\\\\because m\angle E =7x+4\degree\\\therefore m\angle E =7\times 11\degree+4\degree\\\therefore m\angle E =77\degree+4\degree\\\huge{\boxed{\therefore m\angle E =81\degree}}[/tex]
