Home » In the diagram, ZM is a straight line. Calculate the value of x.

In the diagram, ZM is a straight line. Calculate the value of x.

In the diagram, ZM is a straight line. Calculate the value of x.

A.
27^o
B.
30^o
C.
35^o
D.
37^o

Correct Answer: Option C

Explanation

The sum of angles in a triangle is 180^o
2x^o + (2x -21)^o + ∠ZYP = 180^o
Also ∠ZYP = 180^o – (3x+14)^o
∴2x^o + (2x-21)^o + 180^o – (3x+14)^o = 180
x = 35^o