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°
52 degrees
16°
16 degrees
120°
120 degrees
128°
128 degrees
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To find the measure of the second angle, we need to set the two angles equal to each other and solve for x.
(5x-28) = (8x)
Subtract 5x from both sides:
-28 = 3x
Divide both sides by 3:
x = -28/3
Now, substitute x back into the expression for the second angle to find its measure:
Second angle = 8x
= 8(-28/3)
= -224/3
Therefore, the measure of the second angle is -224/3 degrees.
nnnnnnnnooooooooo
I apologize for the incorrect response. Let's try again.
To find the measure of the second angle, we need to set the two angles equal to each other and solve for x:
(5x-28) = (8x)
Subtract 5x from both sides:
-28 = 3x
Divide both sides by 3:
x = -28/3
Now, substitute x back into the expression for the second angle to find its measure:
Second angle = 8x
= 8(-28/3)
= -224/3
Therefore, the measure of the second angle is -224/3 degrees.
Oops, I see that I made the same mistake again. I apologize for the confusion.
Let's solve the equation correctly this time:
(5x-28) = (8x)
Subtract 5x from both sides:
-28 = 3x
Add 28 to both sides:
3x = -28 + 28
3x = 0
Divide both sides by 3:
x = 0
Now, substitute x back into the expression for the second angle to find its measure:
Second angle = 8x
= 8(0)
= 0
Therefore, the measure of the second angle is 0 degrees.