Final answer:
Since AM and AN are tangents from the same external point to the circle, their measures are equal. Therefore, if AM measures 2.5 cm, AN is also 2.5 cm.
Step-by-step explanation:
The question involves finding the measure of AN, given that AM and AN are tangents to circle C and AM measures 2.5 cm.
In geometry, we know that the lengths of tangents drawn from an external point to a circle are equal.
Therefore, since AM is 2.5 cm, AN is also 2.5 cm.