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
120°
120 degrees
128°
128 degrees
16°
16 degrees
52°
To find the measure of the second angle, we can set up an equation based on the fact that the two angles are adjacent and on a straight line.
According to the given information, the sum of the two angles should be equal to 180° (since they form a straight line).
So, we have the equation: (5x - 28) + (8x) = 180.
Simplifying the equation, we get: 13x - 28 = 180.
Adding 28 to both sides of the equation, we have: 13x = 208.
Dividing both sides by 13, we get: x = 16.
Now, we can substitute the value of x back into one of the angle measures to find the other angle.
Using the second angle measure (8x), we have 8(16) = 128°.
Therefore, the measure of the second angle is 128°.