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2007
Mathematics
JAMB
In the parallelogram PQRS above, find angle SQR
A.
100°
B.
80°
C.
50°
D.
30°
Correct Answer:
100°
Explanation
x = 30° (alternate ∠s b/c PQ//Sr) Y = 50° (vertical opposite ∠s) r = 30° (alternate ∠s b/c PQ//SR) But = y + q + t = 180° (∠s on a straight line) 50 + q + 30 = 180 q + 80 = 180 q = 180 -80 q = 100o°
x = 30° (alternate ∠s b/c PQ//Sr) Y = 50° (vertical opposite ∠s) r = 30° (alternate ∠s b/c PQ//SR) But = y + q + t = 180° (∠s on a straight line) 50 + q + 30 = 180 q + 80 = 180 q = 180 -80 q = 100o°
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