In the diagram, PQ is a straight line. Calculate the value of the angle labelled 2y

In the diagram, PQ is a straight line. Calculate the value of the angle labelled 2y

A.

130o

B.

120o

C.

110o

D.

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