In the diagram, PQ||SR. Find the value of Z

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Mathematics WAEC 1998

In the diagram, PQ||SR. Find the value of Z

  • 30o
  • 40o
  • 45o
  • 90o checkmark
  • 120o

The correct answer is: D

Explanation

Given PQ//SR
x = 45º

y = 45º

z = ?

Sum of angles in a triangle  = 180º

(x + y + z)º = 180º

(45 + 45 + z)º = 180º

90º + zº = 180º

z = (180 - 90)º

z = 90º

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