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In the figure above , TS//XYand XY = TY, ∠SYZ = 34°, ∠TXY = 47°, find ...



In the figure above , TS//XY and XY = TY, ∠ SYZ = 34°, ∠ TXY = 47°, find the angle marked n
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  • A 47o
  • B 52o
  • C 56o
  • D 99o
Correct Answer: Option B
Explanation:

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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