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) degress. What is the measure of the second angle?
A. 16 degree
B. 120 degree
C. 52 degree
D. 128 degree
The sum of the measures of two adjacent angles on a straight line is 180 degrees.
Let's call the measure of the second angle (8x) degrees. The first angle has a measure of (5x-28) degrees.
So, (8x) + (5x-28) = 180
Combining like terms, 13x - 28 = 180
Adding 28 to both sides, 13x = 208
Dividing both sides by 13, x = 16
Now we can substitute x into the measure of the second angle.
Second angle = 8x = 8(16) = 128 degrees
Therefore, the measure of the second angle is 128 degrees.
Answer: D. 128 degree