WAEC - Mathematics (2014 - No. 44)

In the diagram, ST is parallel to UW, < WVT = xo, < VUT = yo, < RSV = 45o and < VTU = 20o. Calculate the value of y
20
25
45
65

Explanation

xo + zo = 180o (sum of < on str. line)

45o + zo = 180o

zo = 180o - 45o

z = 135o

z + yo + 20o = 180o (sum of < s in \(\bigtriangleup\))

135o + yo + 20o = 180o

yo + 155o = 180o

yo + 180o - 155o

yo = 25o

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