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

Answer 1

Since the two angles are adjacent and lie on a straight line, they sum up to 180 degrees. Therefore, we can set up the equation:

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

Now, combine the like terms:

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

This simplifies to:

\[
13x - 28 = 180
\]

Next, add 28 to both sides of the equation:

\[
13x = 208
\]

Now, divide both sides by 13 to find \( x \):

\[
x = 16
\]

Now that we have the value of \( x \), we can substitute it back into the expression for the second angle:

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

Therefore, the measure of the second angle is \( \boxed{128} \) degrees.