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
120°
120 degrees
52°
52 degrees
16°
16 degrees
Skip to navigation
To solve this problem, we know that when two angles are on a straight line, their sum is equal to 180 degrees.
So, we can set up the equation:
(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 second angle to find its measure:
Second angle = 8x = 8(16) = 128 degrees
So, the measure of the second angle is 128 degrees.