passpadi

2009

Mathematics

67ca00ce0c643c71d77dee1f

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°

Correct Answer: 52°

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°

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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