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?

Question

A. 128 degrees
B. 16 degrees
C. 120 degrees
D. 52 degrees

Answer 1

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.