Question

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°

Answer 1

To solve this problem, we know that the sum of the two adjacent angles on a straight line is 180 degrees. We can set up the equation:

(5x - 28) + (8x) = 180

Combining like terms:

13x - 28 = 180

Adding 28 to both sides:

13x = 208

Dividing by 13:

x = 16

Now, we can substitute x back into the equation to find the measure of the second angle:

8x = 8(16) = 128 degrees

Therefore, the measure of the second angle is 128 degrees.