Mathematics

In the parallelogram PQRS above, find angle SQR

In the parallelogram PQRS above, find angle SQR
  • A.
    100o
  • B.
    80o
  • C.
    50o
  • D.
    30o
Correct Answer: Option A
Explanation

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