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 the equation:
(5x - 28)° + (8x)° = 180°
Combine like terms:
13x - 28 = 180
Add 28 to both sides:
13x = 208
Divide both sides by 13:
x = 16
Now substitute x = 16 into the expression for the second angle:
8x = 8(16) = 128°
Therefore, the measure of the second angle is 128 degrees.