In the following figure M1 and M2 are two perpendicular lines that intersect at O. Through O, another straight line A is drawn; some angles thus formed have been marked. If p:q = 9:6, what is the value of ∠z.

A) 126°

B) 54°

C) 36°

D) 105°

The lines AC ∥ BD with transversal line PQ \$m \angle PMC = (2x+8)(3x-6)\$ , \$m \angle BNQ = x^2 - 12\$ and find x , \$m \angle m and m\ angle N \$.

A) x = 3 and \$m \angle m = 44°, m\ angle N = 46°\$

B) x = 3 and \$m \angle m = 44° , m\ angle N = 44°\$

C) x = 3 and \$m \angle m = 42°, m\ angle N = 42°\$

D) None of these

What is the measure of \$\angle XYZ\$ , given a ∥ b, \$m \angle ZYR = (5x+35)\$ and \$m \angle QRY = (13x - 5)\$.

A) 65°

B) 115°

C) 60°

D) 120°

Two supplementary angles differ by 44°. Find the angles.

A) 65° and 115°

B) 68° and 112°

C) 66° and 114°

D) 64° and 116°

If \$m \angle 1 = 32\$ and \$m \angle 2 = 23\$ , find the measure of all other angles.

A) \$m \angle 3 = 125° , m \angle 4 = 32° , m \angle 5 = 23° and m \angle 6 = 125°\$

B) \$m \angle 3 = 125° , m \angle 4 = 23° , m \angle 5 = 32° and m \angle 6 = 125°\$

C) \$m \angle 3 = 125° , m \angle 4 = 32° , m \angle 5 = 125° and m \angle 6 = 32°\$

D) \$m \angle 3 = 23° , m \angle 4 = 32° , m \angle 5 = 125° and m \angle 6 = 125°\$