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

16°
16 degrees

52°
52 degrees

120°
120 degrees

128°

Answer 1

To find the measure of the second angle, we can set up the equation:

(5x - 28)° + (8x)° = 180°

Combine like terms:

13x - 28 = 180

Add 28 to both sides:

13x = 208

Divide both sides by 13:

x = 16

Now substitute x = 16 into the expression for the second angle:

8x = 8(16) = 128°

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