In the figure \$BG \bot DE\$, AC = CF and AB = CE. If BC \$120\$ and EF \$= 11m - 1\$, find the value of m.

A) 20

B) 15

C) 11

D) 17

\$EB \bot AC\$, B is the mid-point of AC, \$\angle AEB = 30^\circ\$, find \$\angle BDE\$.

A) \$100^\circ\$

B) \$45^\circ\$

C) \$50^\circ\$

D) \$60^\circ\$

ABCD is a square, E, F, G and H are the mid-points of AB, BC, CD and DA respectively. If DI \$16b - 40\$, IB = \$60 - 4b\$ and \$\angle BIF = 10b\$, Find \$\angle BEF\$.

A) \$\angle BEF = 20^\circ\$

B) \$\angle BEF = 50^\circ\$

C) \$\angle BEF = 60^\circ\$

D) \$\angle BEF = 45^\circ\$

B is the mid-point of AC and ED, AB \$= 2b - 50\$, BC \$= 40 - b\$, \$\angle ABE = 30^\circ\$ and \$\angle AEB = 2b\$. Find \$\angle AEB\$.

A) \$\angle AEB = 30^\circ\$

B) \$\angle AEB = 60^\circ\$

C) \$\angle AEB = 70^\circ\$

D) \$\angle AEB = 45^\circ\$

E is the mid-point of BC, FE perpendicular to BC, BF \$= 16M\$, FC \$= 64\$, \$\angle EFC = 70^\circ\$ and \$\angle FCE = 5M\$. Find sum of \$\angle FCE\$ and \$\angle FEB\$.

A) \$\angle AEB = 110^\circ\$

B) \$\angle AEB = 130^\circ\$

C) \$\angle AEB = 80^\circ\$

D) \$\angle AEB = 150^\circ\$