In the figure above, TS//XY and XY = TY, ∠STZ = 34°, ∠TXY = 47°, find the angle marked n?

  • A 47°
  • B 52°
  • C 56°
  • D 99°
jamb 2009mathematics

The correct answer is B. 52°

In Δ TYX

XY = TY ∴y =47° base ∠s of ISCΔ

But y+x+34+47 = 180 interior

opposite ∠s are supplementary

47 + x + 34 + 47 = 180

x + 128= 180

x = 180- 128

x = 52°

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