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
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
1 answer
1 answer