Higher June 2019 Paper 1 Q16
16.
Diagram not drawn to scale
A, B, C and D are points on a circle.
The line PQ is a tangent to the circle at B.
\(P\hat{B}A = 51^\circ\), \(A\hat{C}D = w^\circ\) and \(B\hat{A}D = 2w^\circ\).
Find the value of \(w\).
You must show all your working. [3]
| Scheme | Marks | Comments |
|---|---|---|
| (\(BCA\) =) \(51^\circ\) | B1 | May be seen in diagram. |
| \(2w + w + 51 = 180\) oe | B1 | If correct, implies first B1; FT ‘their 51’ |
| (\(w\) =) 43 | B1 | CAO |
| (3) |