In the figure above , \(TS // xy\) and \(XY = TY\), \(\angle SYZ = 34^\circ\), \(\angle TXY = 47^\circ\), find the angle marked n

Assessment: JAMB UTME - Mathematics - 2009 Subject: General Mathematics

Question 1 Report

In the figure above , \(TS // xy\) and \(XY = TY\), \(\angle SYZ = 34^\circ\), \(\angle TXY = 47^\circ\), find the angle marked n

Answer Details
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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