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)

Question

Responses

16°
16 degrees

128°
128 degrees

52°
52 degrees

120°

Answer 1

To find the measure of the second angle, we need to set up an equation using the fact that the two angles are on a straight line. The sum of the measures of two angles on a straight line is always 180 degrees.

So, we have 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 we can find the measure of the second angle by substituting x = 16 into the expression (8x):

8(16) = 128

Therefore, the measure of the second angle is 128 degrees.