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

52°
52 degrees

16°
16 degrees

120°
120 degrees

128°
128 degrees

Answer 1

Adjacent angles that are on a straight line add up to 180 degrees.

Given:
- One angle is \( (5x - 28)^\circ \)
- The other angle is \( (8x)^\circ \)

We can set up the equation:

\[
(5x - 28) + (8x) = 180
\]

Combining like terms:

\[
13x - 28 = 180
\]

Next, add 28 to both sides:

\[
13x = 208
\]

Now, divide both sides by 13:

\[
x = \frac{208}{13} = 16
\]

Now we can find the measure of the second angle, \( (8x) \):

\[
8x = 8(16) = 128
\]

Thus, the measure of the second angle is \( 128^\circ \).

The correct response is:

**128°**