0580 P42 - Mar 2024 - Q2 - 8 marks
11453
A, B, C and D lie on a circle. ADX and BCX are straight lines. Angle BAD=x°, angle DCX=y°.
(a) Explain why x=y, giving a geometrical reason for each step. [2]
(b) Show that triangles ABX and CDX are similar. [2]
AD=15 cm, DX=9 cm, CX=12 cm.
(c(i)) Find BC. [3]
(c(ii)) Find the ratio area ABX : area CDX in the form n:1. [1]
