Question

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what is the sum of the exterior angle measures, one at each vertex, of a convex 11-gon?
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Explanation:

Step1: Recall the exterior angle sum theorem

For any convex polygon, the sum of the exterior angle measures (one at each vertex) is always \( 360^\circ \), regardless of the number of sides.

Step2: Apply the theorem to the 11 - gon

Since the 11 - gon is a convex polygon, by the exterior angle sum theorem, the sum of its exterior angles (one at each vertex) is \( 360^\circ \).

Answer:

\( 360 \)