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 are on a straight line, their measures should add up to 180°.
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
Now substituting the value of x back into the expression for the second angle:
(8x)° = 8(16)° = 128°
Therefore, the second angle has a measure of 128°.