In the figure above , TS//XY and XY = TY, ∠SYZ = 34°, ∠TXY = 47°, find the angle marked n
- A.
47^{o} - B.
52^{o} - C.
56^{o} - D.
99^{o}
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°