In the diagram, ZM is a straight line. Calculate the value of x.
Attached Figure / Diagram
A
27o
B
30o
C
35o
D
37o
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
The sum of angles in a triangle is 180o
2xo + (2x -21)o + ∠ZYP = 180o
Also ∠ZYP = 180o - (3x+14)o
∴2xo + (2x-21)o + 180o - (3x+14)o = 180
x = 35o
Source: Myschool Past Questions Archive (Record #26585)