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

120°
120 degrees

52°
52 degrees

128°
128 degrees

16°

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve for the measure of the second angle, you can set up an equation by knowing that the sum of the two adjacent angles on a straight line is 180 degrees.

So, (5x - 28) + (8x) = 180.

Combine like terms: 13x - 28 = 180.

Add 28 to both sides: 13x = 208.

Divide both sides by 13: x = 16.

Now that you know the value of x, you can substitute it back into the equation to find the measure of the second angle.

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

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