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) degree. What is the measure of the second angle?
Options:
128 degree
16 degree
52 degree
120 degree
The sum of the measures of two adjacent angles on a straight line is 180 degrees.
So, we can set up the equation:
(5x - 28) + 8x = 180
Combining like terms, we get:
13x - 28 = 180
Adding 28 to both sides, we get:
13x = 208
Dividing both sides by 13, we get:
x = 16
Substituting x = 16 into the second angle's measure:
8x = 8(16) = 128
Therefore, the measure of the second angle is 128 degrees.
The correct option is: 128 degrees