To solve for the measure of the second angle, you can set up an equation by knowing that the sum of the two adjacent angles on a straight line is 180 degrees.
So, (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 that you know the value of x, you can substitute it back into the equation to find the measure of the second angle.
Second angle = 8x = 8(16) = 128 degrees.
Therefore, the measure of the second angle is 128°.
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
120°
120 degrees
52°
52 degrees
128°
128 degrees
16°
1 answer