Answer: m∠CAB=48°
Step-by-step explanation:
From the given picture, there is a circle with center O and the measure of central angle ∠COB=96°.
We know that the angle which is subtended by an arc at the centre of a circle is double the size of the angle subtended at any point on the circumference.
Therefore, [tex]\angle{COB}=2\times\angle{CAB}[/tex]
[tex]\Rightarrow\ \angle{CAB}=\frac{1}{2}\angle{COB}=\frac{1}{2}\times96^{\circ}=48^{\circ}[/tex]
Hence, m∠CAB=48°
