In the diagram, PQ//RS. Find x in terms of y and z

  • A x = 240\(^o\) - y - z
  • B x = 180\(^o\) - y - z
  • C x = 360\(^o\) + y -z
  • D x = 360\(^o\) - y - z
waec 2018mathematics

The correct answer is D. x = 360\(^o\) - y - z

In the diagram,

a = z (alternate angles)

b = 180\(^o\) - a (angles on a straight line)

b = 180\(^o\) - z

c = 180\(^o\) - x (angles on a straight line)

y = b + c (sum of oposite interior angles)

y = 180\(^o\) - z + 180\(^o\) - x

y = 360\(^o\) - z - x

x = 360\(^o\) - y - z

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