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The sum of the two angles is 180 degrees since they are on a straight line. Therefore, we can set up the equation:
(5x - 28) + (8x) = 180
Combine like terms:
13x - 28 = 180
Add 28 to both sides:
13x = 208
Divide both sides by 13:
x = 16
Substitute x back into the expression for the second angle:
8x = 8(16) = 128
Therefore, the measure of the second angle is 128 degrees.