Two adjacent angles are on a straight line. One angle has a measure of (5x-28)° and the other angle has a measure of (8x)°. What is the measure of the second angle?
Since the two angles are adjacent and on a straight line, they form a linear pair, which means they add up to 180 degrees.
So, we can set up the equation:
(5x-28) + (8x) = 180
Combining like terms, we have:
13x - 28 = 180
Adding 28 to both sides of the equation, we get:
13x = 208
Finally, dividing both sides of the equation by 13, we find:
x = 16
To find the measure of the second angle, we substitute the value of x back into the expression for the second angle:
(8x) = 8(16) = <<8*16=128>>128 degrees. Answer: \boxed{128}.