The measure of ∠1 =
188
172
94

Answer: Third option is correct.
Step-by-step explanation:
Since we have given that
There is a cyclic quadrilateral.
As we know that "Sum of opposite angles in a cyclic quadrilateral is supplementary.":
so, it becomes,
[tex]86^\circ+\angle 1=180^\circ\\\\\angle 1=180^\circ-86^\circ\\\\\angle 1=94^\circ[/tex]
Hence, the measure of ∠1 = 94°
Therefore, Third option is correct.