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In the parallelogram PQRS above find angle SQR - JAMB Mathematics 2007 Question

In the parallelogram PQRS above, find angle SQR
A
100o
B
80o
C
50o
D
30o
correct option: a

x = 30o (alternate ∠s b/c PQ//Sr)

Y = 50o (vertical opposite ∠s)

r = 30o (alternate ∠s b/c PQ//SR)

But = y + q + t = 180o (∠s on a straight line)

50 + q + 30 = 180

q + 80 = 180

q = 180 -80

q = 100o

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