In the diagram ST is parallel to UW lt WVT xo l... - WAEC Mathematics 2014 Question
In the diagram, ST is parallel to UW, < WVT = xo, < VUT = yo, < RSV = 45o and < VTU = 20o. Calculate the value of y
A
20
B
25
C
45
D
65
correct option: b
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
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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