Home » Mathematics » In the figure above , TS//XY and XY = TY, ∠SYZ = 34°, ∠TXY = 47°,…

In the figure above , TS//XY and XY = TY, ∠SYZ = 34°, ∠TXY = 47°,…

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°