Two adjacent angles are on a straight line. One angle has a measure of (5x−28)° and the other angle has a measure of (8x)°. What is the measure of the second angle?
Since the two angles are adjacent and on a straight line, their measures sum up to 180 degrees.
Therefore, we can write the equation:
(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 the value of x into the second angle's measure:
8(16) = 128
Therefore, the measure of the second angle is 128 degrees.