(SAT Prep) In the given figure, a ∥ b. Find the value of z. A. 50° B. 90° C. 45° D. 75°

Answer:
C. 45°
Step-by-step explanation:
Reviewing the triangle, the sum of the angle in a triangle is 180°. Hence the third angle in the triangle will be
= 180° - (x + y)°
The sum of angles on a straight line is 180° hence
180° - (x + y)° + z + z = 180
2z = x + y
Furthermore,
2y + 2x = 180
y + x = 90
Hence 2z = 90
z = 90/2
= 45°