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?

50o
40o
110o
80o
100o
Explanation
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Discussions (13)

According to circle theorem 9 which says if one side of a cyclic quadrilateral , AD , is produced the exterior angle so formed is equal to opposite angle and thus in a situation where by the chord becomes small such that it is now a tangent then the angle between the tangent and any other chord is equal to the angle in the alternate segement. so i think the answer is wrong if not i want more explanation.

the answer is 100 even according to my schools explanation so the fact that the answer is 80 means that there's something wrong
my school please review this

According to theorem 5 in circle geometry, the exterior angle in a cycli quadrilateral is equal to the opposite interior angle. so definetly, R is 50 degree. i think the question all wrong im seeing another probkem again. pls MY SCHOOL REVIEW THIS






