In the diagram, ZM is a straight line. Calculate the value of x..... Question 12690

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

27^o

30^o

35^o

37^o

Correct answer is C

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

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