Two adjacent angles on a straight line. On 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)
A. 52°
B. 16°
C. 128°
D. 120°
The sum of the angles on a straight line is always 180°.
So, we have:
(5x-28)° + (8x)° = 180°
Combining like terms:
13x - 28° = 180°
Adding 28° to both sides:
13x = 208°
Dividing both sides by 13:
x = 16°
Substituting x back into the expression for the second angle:
8x = 8(16°) = 128°
So, the measure of the second angle is 128°.
Therefore, the correct answer is C. 128°.