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

128°
128 degrees

52°
52 degrees

16°
16 degrees

120°

Answer 1

To solve this problem, we can set up an equation.

Since the two angles are adjacent angles on a straight line, their measures should add up to 180 degrees.

So, 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 have the value of x, we can substitute it back into one of the angle measures to find the measure of the second angle.

Using (8x)°:

(8 * 16)° = 128°

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