\$RS ∥ MP\$, RS = ON, Q is the mid point of RO and NS and the values of sides RQ \$= 5x\$, QO \$= 30 + y\$, QS \$= y\$ and NQ \$= 2x\$, then find the values of x and y.

A) \$x = 15\$ and \$y = 35\$

B) \$x = 10\$ and \$y = 20\$

C) \$x = 25\$ and \$y = 10\$

D) \$x = 30\$ and \$y = 20\$

In the figure AB = AC = FD = ED \$\angleBAC = 2x\$, \$\angle ABC = x - 1\$, \$\angle DEF = 2 - 2y\$ and \$\angle EDF = 3 - y\$, then find the vlues of x and y.

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

B) \$x = 3\$ and \$y = 1\$

C) \$x = 1\$ and \$y = 3\$

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

ABC is an eqilateral triangle, D, E and F are mid-points of AB, AC and BC respectively, sides AD \$= 2x - 6\$, EF \$= 10 - 5y\$, DE \$= 3x - 6\$ and FC \$= 5 - y\$. Find the values of x and y.

A) \$x = 5\$ and \$y = 4\$

B) \$x = 4\$ and \$y = 3\$

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

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

In the figure NO = ON, MO = PN sides MO \$= 2y - 5\$, NP \$= 5 - 2x\$, MN \$= 3x\$ and OP \$= 9 - y\$. Find the values of x and y.

A) \$x = 3\$ and \$y = 4\$

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

C) \$x = 4\$ and \$y = 3\$

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

Three lines intersect at point B, AB bisects \$\angle CBA\$ and \$\angle CAD\$, AC \$\bot\$ CB, AD \$\bot\$ BD, sides BD \$= 6 - 3y\$, DA \$= 10 - y\$, AC \$= 2x + y\$ and BC \$= x - 3\$. Then the values of x and y.

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

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

C) \$x = 2\$ and \$y = 5\$

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