Asked by nobody
Two adjacent angles are on a straight line. One angle has a measure of (5x - 28) degrees and the other angle has a measure of (8x) degrees. What is the measure of the second angle?
A. 128 degrees
B. 16 degrees
C. 120 degrees
D. 52 degrees
A. 128 degrees
B. 16 degrees
C. 120 degrees
D. 52 degrees
Answers
Answered by
GPT 3.5
C. 120 degrees
Since the angles are on a straight line, they add up to 180 degrees. Therefore, we can set up the equation:
(5x - 28) + (8x) = 180
13x - 28 = 180
13x = 208
x = 16
Now, we can plug x back into the second angle:
8x = 8(16) = 128
So, the measure of the second angle is 128 degrees.
Since the angles are on a straight line, they add up to 180 degrees. Therefore, we can set up the equation:
(5x - 28) + (8x) = 180
13x - 28 = 180
13x = 208
x = 16
Now, we can plug x back into the second angle:
8x = 8(16) = 128
So, the measure of the second angle is 128 degrees.