Mathematics

The trapezium PQRS parallel to SR,∠PQS = 34o and ∠SPQ = 2 ∠SRQ. Find the…

The trapezium PQRS parallel to SR,∠PQS = 34o and ∠SPQ = 2 ∠SRQ. Find the size of, SQR
  • A.
    58o
  • B.
    68o
  • C.
    78o
  • D.
    90o
  • E.
    112o
Correct Answer: Option D
Explanation

considering SPQ
S = 34o (base ∠s of Isos. Δ)
P = 180o – 68o = 112o
R = 122/2 = 56o
a = 34o (alt ∠s)
SQR = 180o – (56 + 34)
180o – 90o = 90o