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)

Answer 1

The sum of two adjacent angles on a straight line is 180 degrees. Therefore, we have the equation:

(5x - 28)° + (8x)° = 180°

Combine like terms:

13x - 28 = 180

Add 28 to both sides of the equation:

13x = 208

Divide both sides by 13:

x = 16

Now, substitute the value of x back into the equation for the second angle:

8x = 8(16) = 128

Therefore, the measure of the second angle is 128 degrees. Answer: \boxed{128}.