To find the measure of the second angle, we need to use the fact that the sum of two adjacent angles on a straight line is 180°.
Given:
- One angle is \((5x - 28)°\)
- The other angle is \((8x)°\)
We can set up the equation:
\[ (5x - 28) + (8x) = 180 \]
Now, simplify the equation:
\[ 5x - 28 + 8x = 180 \] \[ 13x - 28 = 180 \]
Next, add 28 to both sides:
\[ 13x = 208 \]
Now, divide both sides by 13:
\[ x = \frac{208}{13} \] \[ x = 16 \]
Now that we found \(x\), we can find the measure of the second angle:
Substituting \(x = 16\) into the second angle's expression:
\[ 8x = 8(16) = 128° \]
Therefore, the measure of the second angle is 128°.