Answer:
37°.
Step-by-step explanation:
It is given that [tex]\triangle IAM \sim \triangle NOT[/tex].
[tex]\angle A=37^\circ[/tex]
[tex]\angle N=43^\circ[/tex]
If two triangles are similar, then the measures of their corresponding angles are congruent.
[tex]\angle O\cong \angle A[/tex]
[tex]m\angle O=m\angle A[/tex]
[tex]m\angle O=37^\circ[/tex]
Therefore, the measure of ∡O is 37°.