Answer:
The measurement of the eighth angle in the octagon is 245 degrees.
Explanation:
The following formula calculates the total internal angles in an octagon:
Sum of the interior angle = (n - 2) * 180 degrees,
where n represents the polygon's number of sides. n = 8 for an octagon, so we have:
Interior angle sum = (8 - 2) * 180 = 1080 degrees.
Given that the sum of the seven inner angles is 835 degrees, we can construct the following equation:
835 + x = 1080
where x represents the eighth angle's degree measurement. After finding x, we obtain:
x= 1080 - 835
x = 245 degrees
The eighth angle of the octagon is therefore 245 degrees.