Home » 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…

The trapezium PQRS parallel to SR,∠PQS = 34^o and ∠SPQ = 2 ∠SRQ. Find the size of, SQR

A.
58^o
B.
68^o
C.
78^o
D.
90^o
E.
112^o

Correct Answer: Option D

Explanation

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