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 128° 128 degrees 120° 120 degrees 52° 52 degrees 16°

Answer 1

The sum of the two adjacent angles on a straight line is 180 degrees. So, we can set up the equation:

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

Combining like terms, we have:

13x - 28 = 180

Adding 28 to both sides of the equation:

13x = 208

Dividing both sides by 13:

x = 16

Now we can find the measure of the second angle by substituting x into the given expression:

(8x) = (8*16) = 128

Therefore, the measure of the second angle is 128 degrees. So the correct response is:

128°