The consecutive angles of a particular trapezoid form an arithmetic sequence. If the largest angle measures 128 degrees, what is the measure of the smallest angle?
x + x+ d + x + 2d + x + 3d = 360 x + 3d = 128 or x = 128 - 3d <======sub this into the equation
4 ( 128-3d) + 6d = 360
d = 25 1/3
x + 3d = 128
x = 128 -3d = 128 - 3 ( 25 1/3) = 52 degrees
x + x+ d + x + 2d + x + 3d = 360 x + 3d = 128 or x = 128 - 3d <======sub this into the equation
4 ( 128-3d) + 6d = 360
d = 25 1/3
x + 3d = 128
x = 128 -3d = 128 - 3 ( 25 1/3) = 52 degrees