In the figure above Ts xy and XY TY SYZ 34o TXY... - JAMB Mathematics 2009 Question

In the figure above , Ts//xy and XY = TY, ∠SYZ = 34^o, ∠TXY = 47^o, find the angle marked n

In Δ TYX

XY = TY ∴y =47^o 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^o