In the figure above , TS//XY and XY = TY, ∠STZ = 34°, ∠TXY = 47°, find the angle marked n?
Attached Figure / Diagram
A
47o
B
52o
C
56o
D
99o
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
In \Delta TYX
XY = TY ∴y =47^\circ base ∠s of ISC\Delta
But y+x+34+47 = 180 interior
opposite ∠s are supplementary
47 + x + 34 + 47 = 180
x + 128= 180
x = 180- 128
x = 52^\circ
Source: WAEC / JAMB / NECO Classroom Archive (Record #9328)