A. B and C are points on the circumference of a circle, centre O - Edexcel - GCSE Maths - Question 14 - 2018 - Paper 1

To find angle CAD, we first note that angles in the same segment are equal. Thus, the angle at point CBO (35°) equals the angle at point CAO.

Since the angles in triangle BAE must sum to 180°, we can proceed as follows:

1. Calculate angle ABE: $ext{Angle ABE} = 180° - ext{Angle BAE} - ext{Angle CBO}$ $ext{Angle ABE} = 180° - 56° - 35° = 89°$

2. Now we can find angle CAD: $ext{Angle CAD} = ext{Angle ABE} - ext{Angle CBO}$ $ext{Angle CAD} = 89° - 35° = 54°$

Thus, the size of angle CAO is 54°.