passpadi

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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