5 (a) D NOT TO 83.2 m SCALE 38° C B A 54.5 m ACD is a right-angled triangle. B is on AC and BC = 54.5 m. AD = 83.2m and angle ABD = 38°. Calculate angle ACD. Angle ACD = ................................................ [5] (b) F G E EFG is a right-angled triangle. A circle can be drawn that passes through the three vertices of the triangle. On the diagram, mark the position of the centre of the circle with a cross. Explain how you decide. ..................................................................................................................................................... ..................................................................................................................................................... [2] © UCLES 2023 0580/41/O/N/23 9 (c) N R NOT TO 5 cm SCALE 4 cm Q 6 cm M P L In triangle LMN, the ratio angle L : angle M : angle N = 4 : 5 : 6. In triangle PQR, PQ = 6cm, PR = 4cm and QR = 5cm. Calculate the difference between the largest angle in triangle PQR and the largest angle in triangle LMN. ................................................. [7] © UCLES 2023 0580/41/O/N/23 [Turn over 10