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

120°
120 degrees

52°
52 degrees

16°
16 degrees
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Answer 1

To solve this problem, we know that when two angles are on a straight line, their sum is equal to 180 degrees.

So, we can set up 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 substitute x back into the second angle to find its measure:

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

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