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

120°
120 degrees

128°
128 degrees

16°
16 degrees

52°

Answer 1

To find the measure of the second angle, we can set up an equation based on the fact that the two angles are adjacent and on a straight line.

According to the given information, the sum of the two angles should be equal to 180° (since they form a straight line).

So, we have the equation: (5x - 28) + (8x) = 180.

Simplifying the equation, we get: 13x - 28 = 180.

Adding 28 to both sides of the equation, we have: 13x = 208.

Dividing both sides by 13, we get: x = 16.

Now, we can substitute the value of x back into one of the angle measures to find the other angle.

Using the second angle measure (8x), we have 8(16) = 128°.

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