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

Correct Answer: Option D

Explanation

Sum of angles on straight line = 180^o
80^o + 50^o + x + 10^o = 180^o
140^o + x = 180^o
x = 180^o – 140^o
x = 40^o
total sum of all angles = 360^o
2y^o + 2x^o + 80^o + 50^o + x + 10^o = 360^o
2y^o + 2(40)^o + 80^o + 50^o + 40 + 10 = 360^o
2y^o + 80 + 180^o = 360^o
2y^o + 260^o = 360^o
2y^o = 360^o – 260^o
2y^o = 100^o
angle 2y^o = 100^o