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The sum of the measures of two adjacent angles on a straight line is always 180 degrees. Therefore, we can write the equation:
(5x - 28) + (8x) = 180
Combining like terms:
13x - 28 = 180
Adding 28 to both sides:
13x = 208
Dividing both sides by 13:
x = 16
Substituting x = 16 into the second angle's measure:
8x = 8(16) = 128
Therefore, the measure of the second angle is 128 degrees.