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
A. 120°
120 degrees
B. 128°
128 degrees
C. 52°
52 degrees
D. 16°
The sum of the measures of two adjacent angles on a straight line is always 180°. So, we have 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 find the measure of the second angle by substituting x = 16 into the expression (8x):
Second angle = 8(16) = 128°
Therefore, the measure of the second angle is 128°.
The correct answer is B.