Answer:
Sum of Interior Angles = (8-2) * 180 = 1080 degrees
Eighth interior Angle = 1080 - (103 + 175 + 155 + 158 + 169 + 157 + 55) = 1080 - 817 = 263 degrees
Explanation:
The sum of the interior angles in a polygon can be found using the formula (n-2)*180, where n is the number of sides in the polygon.
In the case of an octagon (8 sides), the sum of the interior angles is (8-2)*180 = 1080 degrees.
The measure of the eighth interior angle can be found by subtracting the sum of the known interior angle measures from the total sum of the interior angles.
So,
Eighth interior Angle = 1080 - (103 + 175 + 155 + 158 + 169 + 157 + 55) = 1080 - 817 = 263 degrees
In short,
Sum of Interior Angles = (8-2) * 180 = 1080 degrees
Eighth interior Angle = 1080 - (103 + 175 + 155 + 158 + 169 + 157 + 55) = 1080 - 817 = 263 degrees