In the diagram, PQ is a straight line. Calculate the value of the angle labelled 2y
130o
120o
110o
100o
Correct answer is D
Sum of angles on straight line = 180o
80o + 50o + x + 10o = 180o
140o + x = 180o
x = 180o - 140o
x = 40o
total sum of all angles = 360o
2yo + 2xo + 80o + 50o + x + 10o = 360o
2yo + 2(40)o + 80o + 50o + 40 + 10 = 360o
2yo + 80 + 180o = 360o
2yo + 260o = 360o
2yo = 360o - 260o
2yo = 100o
angle 2yo = 100o