The interior angle measures of a pentagon form an arithmetic progression. The difference between the largest and smallest angle measures is 44 degrees. Find the measure of the smallest angle, in degrees.
the sum of the angles in a pentagon is 540. let the measure of the smallest angle be x.
x+x+d+x+2d+x+3d+x+4d=540. x+4d-x=44. 4d=44. d=11. 5x+10d=540. x+2d=108. x+22-108. x=86