The polygon has 11 sides.
The measure each interior angle is 147.272°.
Solution:
The given shape is a regular polygon.
(a) Number of sides of the polygon = 11
The polygon has 11 sides.
(b) To find the measure of each interior angle:
Each interior angle of a regular polygon
[tex]$=\frac{(n-2) \times 180^{\circ}}{n}[/tex]
[tex]$=\frac{(11-2) \times 180^{\circ}}{11}[/tex]
[tex]$=\frac{9 \times 180^{\circ}}{11}[/tex]
[tex]=147.272^\circ[/tex]
The measure each interior angle is 147.272°.
