In the parallelogram PQRS above, find angle SQR

  • A 100°
  • B 80°
  • C 50°
  • D 30°
jamb 2007mathematics

The correct answer is A. 100°

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 = 100

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