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

52°
52 degrees

120°
120 degrees

128°
128 degrees

16°

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the measure of the second angle, we need to set up an equation. Since the angles are adjacent and on a straight line, their sum is equal to 180 degrees.

So, (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 x back into the expression for the second angle to find its measure:

Second angle = 8x = 8(16) = 128 degrees

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