In the diagram, ST is parallel to UW, < WVT = xo, < VUT =...

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Mathematics WAEC 2014

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

The correct answer is: B

Explanation

x^o + z^o = 180^o (sum of < on str. line)

45^o + z^o = 180^o

z^o = 180^o - 45^o

z = 135^o

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

135^o + y^o + 20^o = 180^o

y^o + 155^o = 180^o

y^o + 180^o - 155^o

y^o = 25^o

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In the diagram, ST is parallel to UW, < WVT = xo, < VUT =...

The correct answer is: B

Explanation

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