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 add up to 180 degrees. So we have (5x-28) + (8x) = 180. Combining like terms, we get 13x - 28 = 180. Adding 28 to both sides, we get 13x = 208. Dividing both sides by 13, we get x = 16. Finally, substituting x = 16 into the expression for the second angle, we get 8x = 8(16) = 128. Therefore, the measure of the second angle is 128 degrees. Answer: \boxed{128}.
For two adjacent angles with measures x° and (x+30)° that make up a 90° angle, what is x ?
