PQRS isa cyclic quadrilateral which PQ = PS. PT is a tangent to the circle...

JAMB 1983

PQRS isa cyclic quadrilateral which PQ = PS. PT is a tangent to the circle and PQ makes an angle of 50o with the tangent as shown in the figure. What is the size of QRS?

A. 50^o
B. 40^o
C. 110^o
D. 80^o
E. 100^o

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Correct Answer: Option E

Explanation

< PSQ = < QPT = 50º

In \(\triangle\) PQS, PS = PQ (given) base angles of an isosceles triangle.

< QRS = 180º - < SPQ (opp <s of a cyclic quad)

<QRS = 180º - 80º = 100º

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PQRS isa cyclic quadrilateral which PQ = PS. PT is a tangent to the circle...

Correct Answer: Option E

Explanation

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