In the diagram, PR is a tangent to the circle at Q, QT//RS,
MATHEMATICS
WAEC 2018
In the diagram, PR is a tangent to the circle at Q, QT//RS,
- A. 40°
- B. 65°
- C. 85°
- D. 95°
Correct Answer: D. 95°
Explanation
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\(^o\)
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