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

MATHEMATICS
WAEC 1998

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

  • A. 30°
  • B. 40°
  • C. 45°
  • D. 90°

Correct Answer: D. 90°

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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