Solution
Recall that:
The angle subtended by an arc of a circle at its center is twice the angle it subtends anywhere on the circle’s circumference.
That is; Angle XOZ is twice Angle XYZ
Angle XOZ = 48
While angle XYZ = a
[tex]\Rightarrow48=2a[/tex]
Dividing both sides by 2
[tex]\begin{gathered} \Rightarrow a=\frac{48}{2} \\ \\ \Rightarrow a=24 \end{gathered}[/tex]
Hence, the value of a = 24
