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In the diagram, QR//ST, /PQ/ = /PR/ and < PST = 75o. Find the value...

Mathematics
WAEC 2010

In the diagram, QR//ST, /PQ/ = /PR/ and < PST = 75o. Find the value of y
  • A. 105o
  • B. 110o
  • C. 130o
  • D. 150o
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Correct Answer: Option A
Explanation
In \(\bigtriangleup\) PQR,

Q = S = 75o (Corresponding angle)

R = Q = 75o (Base angles of an isosceles \(\bigtriangleup\))

But, y + 75o = 180o (Sum of angles in a straight line)

y = 180 - 75

y = 105o

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