Can a tessellation be created using only regular ten-sided polygons'Explain your answer. Choose the correct answer below A. No, because the sum of the measures of the angles of a ten-sided polygon is 1440^circ and 1440^circ is a multiple of 360^circ B. Yes, because 360 is a multiple of 10 and 10 regular ten-sided polygons can fit into 360^circ C. Yes, because any regular polygon can create a tessellation. D. No, because each angle of a regular ten-sided polygon measures 144^circ and 360^circ is not a multiple of 144^circ

## Step 1<br />A tessellation is a pattern of shapes that fit together without any gaps or overlaps. In order for a regular polygon to tessellate, the angle of the polygon must divide evenly into 360 degrees. This is because 360 degrees represents the total angle around a point, and the polygon must fit around this point without any gaps or overlaps.<br /><br />## Step 2<br />The measure of each angle of a regular ten-sided polygon (also known as a decagon) is calculated using the formula:<br />### \( \text{Angle} = \frac{180(10-2)}{10} = 144^{\circ} \)<br /><br />## Step 3<br />This angle does not divide evenly into 360 degrees, which means that a regular ten-sided polygon cannot tessellate.