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

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

View answer & explanation

Correct answer is D

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

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