Two adjacent angles are on a straight line. One angle has a measure of (5x−28)°

Question

and the other angle has a measure of (8x)°
. What is the measure of the second angle?(1 point)
Responses

52°
52 degrees

120°
120 degrees

128°
128 degrees

16°

Answer 1

Since the two angles are on a straight line, they are supplementary, meaning their measures add up to 180 degrees.

We can set up the equation:

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

Combine like terms:

\[ 13x - 28 = 180 \]

Now, add 28 to both sides:

\[ 13x = 208 \]

Next, divide both sides by 13:

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

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

\[ 8x = 8 \times 16 = 128° \]

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