Answer: 144°
Step-by-step explanation:
The sum of the interior angles of a polygon is: I = 180(n - 2) where n is the number of sides.
To find the measure of one angle, divide the sum by the number of sides.
[tex]I_{\ angle} = \dfrac{180(n-2)}{n}\quad[/tex]
Note: A decagon has 10 sides so n = 10
[tex]I_{\ angle}=\dfrac{180(10-2)}{10}\\\\\\.\qquad =\dfrac{180(8)}{10}\\\\\\.\qquad =18(8)\\\\\\.\qquad =144[/tex]
