In the diagram, PQ//RS, QU//PT and ∠ PSR = 42°. Find angle x.

MATHEMATICS
WAEC 2008

In the diagram, PQ//RS, QU//PT and ∠ PSR = 42°. Find angle x.

  • A. 84°
  • B. 48°
  • C. 42°
  • D. 32°

Correct Answer: C. 42°

Explanation

From the diagram, ∠ QPS = xo (Corresponding angles)

Also, ∠ QPS = ∠ PSR(Alternate angles)

x = 42o



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