In the diagram, PR is a tangent to the circle at Q, QT//RS,
A.
40\(^o\)
B.
65\(^o\)
C.
85\(^o\)
D.
95\(^o\)
Correct answer is D
In the diagram,
a = 50\(^o\) (alternate angles)
b\(_1\) + a 35\(^o\) = 180\(^o\) (sum of angles on a straight line)
i.e; b\(_1\) + 50\(^o\) + 35\(^o\)
= 180v
b\(_1\) + 180\(^o\) - 85\(^o\) = 90\(^o\)
But b\(_2\) = \(b_1\) = 95\(^o\) (angles in alternate segement)
<QST = b\(_2\) = 95\(^o\)