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?
Responses
128°
128 degrees
120°
120 degrees
52°
52 degrees
16°
To find the measure of the second angle, we can set up an equation. Since the angles are adjacent and on a straight line, their measures should add up to 180 degrees.
So, we have 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.
Now, we can substitute the value of x back into the expression for the second angle: (8x) = (8*16) = 128.
Therefore, the measure of the second angle is 128 degrees.