AF bisects \$\angle A\$, B is the mid-point of CD, AF is perpendicular to CD and EG, and sides AD \$= 5x - 10\$, AC \$= 5y\$, BC \$= 20 + 2y\$ and BD \$= 4x\$, then find the values of x and y.

A) \$x = 5\$ and \$y = 3\$

B) \$x = 10\$ and \$y = 6\$

C) \$x = 6\$ and \$y = 10\$

D) \$x = 8\$ and \$y = 6\$

In the figure AB \$= x - 2\$ BC = \$2x + 1\$, AD \$= 3y - 1\$ and CD \$= 2 - y\$, then find the vlues of x and y.

A) \$x = 4\$ and \$y = 6\$

B) \$x = 2\$ and \$y = 2\$

C) \$x = 3\$ and \$y = 3\$

D) \$x = 1\$ and \$y = 4\$

ED is perpendicular to AF and CH, E and D are the mid-points of AF abd CH respectively, AE = EF = AB = FG, sides AB \$= 5x + 2\$, EB \$= 3x\$, EG \$= y\$ and FG \$= 2y - 1\$. Find the values of x and y.

A) \$x = 5\$ and \$y = 9\$

B) \$x = 7\$ and \$y = 3\$

C) \$x = 3\$ and \$y = 9\$

D) \$x = 2\$ and \$y = 4\$

ADC ia a right angled triangle, right angled at D, \$\angle D\$ is bisected by DB, B is the mid-point of AC and \$\angle DCB = 3x\$. Find \$\angle DAB\$

A) \$\angle DAB = 75^\circ\$

B) \$\angle DAB = 45^\circ\$

C) \$\angle DAB = 25^\circ\$

D) \$\angle DAB = 35^\circ\$

AB = BC = BD, BD bisects \$\angle ABC\$ and \$\angle ADC\$, \$\angle ABD = y\$, \$\angle DBC = 3x - 7 \$, \$\angle ADB = 2x - 4 \$ and \$\angle CDA = 4 - y\$. Find the values of x and y.

A) \$x = 3\$ and \$y = 6\$

B) \$x = 3\$ and \$y = 2\$

C) \$x = 9\$ and \$y = 5\$

D) \$x = 9\$ and \$y = 6\$