Question

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

16°
16 degrees

52°
52 degrees

128°
128 degrees

120°

Answer 1

To find the measure of the second angle, we can set up an equation with the two angles that are on the straight line. Since the sum of the angles on a straight line is 180 degrees, we can write the equation as follows:

(5x - 28) + (8x) = 180

Combining like terms, we have:

13x - 28 = 180

Adding 28 to both sides, we get:

13x = 208

Dividing both sides by 13, we find:

x = 16

Now we can substitute this value back into the expression for the second angle:

8x = 8(16) = 128

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