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.
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 that we know the value of x, we can substitute it into the equation to find the measure of the second angle:
8x = 8(16) = 128
Therefore, the measure of the second angle is 128 degrees.
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?(1 point)
Responses
52°
52 degrees
16°
16 degrees
120°
120 degrees
128°
128 degrees
1 answer