To find the measure of the second angle, we need to set up an equation. Since the angles are adjacent and on a straight line, their sum is equal to 180 degrees.
So, (5x-28) + (8x) = 180
Combining like terms, we get 13x - 28 = 180
Adding 28 to both sides, we get 13x = 208
Dividing both sides by 13, we get x = 16
Now, we can substitute x back into the expression for the second angle to find its measure:
Second angle = 8x = 8(16) = 128 degrees
Therefore, the measure of the second angle is 128 degrees.
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
120°
120 degrees
128°
128 degrees
16°
1 answer