Foundation November 2023 Paper 3 Q27

AQACurrent spec3 marksAngles (Including Parallel Lines)

27 \(AF\), \(BC\), \(DE\) and \(DF\) are straight lines.

\(BC\) and \(DE\) are parallel.

Not drawn accurately

Parallel lines BC and DE (arrows pointing down) crossed by line AF. The angle at the intersection of AF and BC, between A and C, is 72°. DF joins D to F, making a triangle with DE and AF; angle p is at D and angle r is at F

\(p\) is three times \(r\).

Work out the size of angle \(p\). [3 marks]