Question

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

Answer 1

C. 45°

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°