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Answer :

[tex]m\angle A=3\text{ (angle in alternate segment)}[/tex][tex]\begin{gathered} 216^0\text{ is the angle subtended by the arc at the centre of the circle} \\ T\text{hus,} \\ 216=2\text{ }\times m\angle3 \\ m\angle3=\frac{216}{2} \\ m\angle3=108^0 \end{gathered}[/tex]

Hence, the measure of angle 3 is 108 degrees.

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