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 128° 128 degrees 52° 52 degrees 16° 16 degrees 120°

Answer 1

Since the two adjacent angles are on a straight line, they add up to 180 degrees. Therefore, 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 by 13:

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

Now that we have the value of \( x \), we can find the measure of the second angle:

\[ 8x = 8 \times 16 = 128° \]

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