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
128°
128 degrees
120°
120 degrees
52°
52 degrees
16°
16 degrees
To find the measure of the second angle, we can set up an equation using the fact that the sum of the two angles is equal to 180 degrees (since they are on a straight line).
(5x-28) + (8x) = 180
Combining like terms, we get:
13x - 28 = 180
Adding 28 to both sides, we have:
13x = 208
Dividing both sides by 13, we get:
x = 16
Substituting this value back into the expression for the second angle, we have:
8x = 8(16) = 128
Therefore, the measure of the second angle is 128 degrees.