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In the diagram, ST is parallel to UW, lt; WVT = xo, lt; VUT = yo, lt; RSV = 45o and ...



In the diagram, ST is parallel to UW, < WVT = xo, < VUT = yo, < RSV = 45o and < VTU = 20o. Calculate the value of y
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  • A 20
  • B 25
  • C 45
  • D 65
Correct Answer: Option B
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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