Let the measure of the smallest angle = A
Let the measure of the largest angle be = A + 4D
Where D is the common difference in the arithmetic sequence
And we know that
(A + 4D) - A = 44 simplify
4D = 44 divide both sides by
D = 11
And the sum of the interior angles = 540°.....so we have that
A + (A + 11) + (A + 22) + (A + 33) + (A + 44) = 540
5A + 110 = 540 subtract 110 from both sides
5A = 430 divide both sides by 5
A = 86°