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)
Responses
16°
16 degrees
52°
52 degrees
120°
120 degrees
128°
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, they must sum up to 180 degrees.
So, (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.
Now, we can substitute x = 16 into the expression for the second angle, which is 8x.
Therefore, the second angle has a measure of (8 * 16) = 128 degrees.
So, the correct answer is 128°.