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°

16°

120°

128°

Answer 1

To find the measure of the second angle, we can set up an equation. Since the two angles are adjacent and on a straight line, their measures add up to 180 degrees.

So, we have the equation:

(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 find the measure of the second angle by substituting x = 16 into the expression 8x.

Second angle = 8x = 8 * 16 = 128 degrees

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