A and B are points on a circle with centre O - Edexcel - GCSE Maths - Question 18 - 2019 - Paper 2

The angle CAB can be calculated using the property of angles in a circle. Since angle CAB is opposite the arc AB, we can use the fact that the angle at the circumference (CAB) is half of the angle at the center (COD). Here, angle COD is formed by the radii OA and OB.

First, we need to determine angle CAD and angle OAD:

• Angle CAD = 32° (from above)
• Angle AOB = 2 imes angle CAD = 2 imes 32° = 64°.

Using that, we can then determine angle CAB:

$angle CAB = \frac{1}{2} \times angle AOB = \frac{1}{2} \times 64° = 32°.$