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In the diagram QR ST PQ PR and lt PST 75o Find ... - WAEC Mathematics 2010 Question

In the diagram, QR//ST, /PQ/ = /PR/ and < PST = 75o. Find the value of y
A
105o
B
110o
C
130o
D
150o
correct option: a

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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