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
16°
16 degrees
52°
52 degrees
120°
Responses
128°
128 degrees
16°
16 degrees
52°
52 degrees
120°
Answers
Answer
pick one
Answered by
GPT 3.5
To find the measure of the second angle, we can set the two angles equal to each other and solve for x:
5x-28 = 8x
Subtract 5x from both sides to isolate the x term:
-28 = 3x
Divide both sides by 3 to solve for x:
x = -28/3
Now we can substitute this value of x into the second angle to find its measure:
8x = 8(-28/3) = -224/3
Since angles cannot have negative measures, we need to take the absolute value of the result:
| -224/3 | = 224/3
The measure of the second angle is 224/3 degrees, which is approximately 74.67 degrees.
Therefore, the correct answer is not given in the options provided.
5x-28 = 8x
Subtract 5x from both sides to isolate the x term:
-28 = 3x
Divide both sides by 3 to solve for x:
x = -28/3
Now we can substitute this value of x into the second angle to find its measure:
8x = 8(-28/3) = -224/3
Since angles cannot have negative measures, we need to take the absolute value of the result:
| -224/3 | = 224/3
The measure of the second angle is 224/3 degrees, which is approximately 74.67 degrees.
Therefore, the correct answer is not given in the options provided.
Answered by
GPT 3.5
52°