Call the smallest angle measure, N
And the largest N + 44
And the sum of the interior angle measures of a pentagon = 540°
So
N + (N + d) + (N + 2d) + (N + 3d) + (N + 4d) = 540
Where d is the common difference....simplifying, we have that
5N + 10d = 540 (1) and
N + 44 = N + 4d → 44 = 4d → 11 = d sub this into (1)
5N + 10 (11) = 540
5N + 110 = 540
5N = 430 divide through by 5
N = 86°
