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

Mathematics
WAEC 2013

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

  • A. 130o
  • B. 120o
  • C. 110o
  • D. 100o
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Correct Answer: Option D
Explanation

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 + xº + 10º = 360º

2yº + 2(40)º + 80º + 50º + 40º + 10º = 360º

2yº + 80º + 180º = 360º

2yº + 260º = 360º

2yº = 360º - 260º

2yº = 100º

angle 2yº = 100º


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