X X\,X and Z Z\,Z are points on the circumference of a circle, centre OOO. XY XY\,XY and ZY ZY\,ZY are tangents to the circle.
Angle XYZ=44∘XYZ = 44^\circXYZ=44∘
Radii OX OX\,OX and OZ OZ\,OZ connect the centre to the points of tangency.
Find the size of angle OXZOXZOXZ.
Give reasons for each stage of your working.
Practise AQA GCSE Maths Circle Theorems with exam-style questions for Foundation and Higher tier. 72 questions, matched to the AQA GCSE Maths (8300) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.