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?(1 point)Responses120°120 degrees128°128 degrees16°16 degrees52°
To find the measure of the second angle, we can set up an equation.
Since the two angles are adjacent and on a straight line, the sum of their measures is 180 degrees.
So, we have 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
Now we can substitute x = 16 into the expression for the second angle:
8x = 8(16) = 128
Therefore, the measure of the second angle is 128 degrees.