To find the measure of one angle when six angles share a vertex and each angle has the same measure, you can follow these steps:
1. Since the sum of the measures of all six angles is 330°, you can calculate the measure of one angle by dividing the total sum by the number of angles:
\( \text{Measure of one angle} = \frac{330°}{6} \)
2. Divide 330° by 6 to find the measure of one angle:
\( \text{Measure of one angle} = \frac{330°}{6} = 55° \)
Therefore, the measure of one angle is 55° when six angles share a vertex, and each angle has the same measure.
