Solve Equations with Adjacent Angles Quick Check%0D%0A1 of 51 of 5 Items%0D%0A%0D%0AQuestion%0D%0ATwo 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)%0D%0AResponses%0D%0A%0D%0A16°%0D%0A16 degrees%0D%0A%0D%0A120°%0D%0A120 degrees%0D%0A%0D%0A128°%0D%0A128 degrees%0D%0A%0D%0A52°
To solve for the measure of the second angle, set the two angles equal to each other:
(5x-28)° = 8x°
Now, solve for x:
5x-28 = 8x
-28 = 3x
x = -28/3
Now substitute this value of x back into the second angle's equation to find its measure:
8x = 8(-28/3)
8x = -224/3
So, the measure of the second angle is -224/3 degrees.
not an option
Apologies for the previous incorrect response.
To solve for the measure of the second angle, set the two angles equal to each other:
(5x-28)° = (8x)°
Now, solve for x:
5x - 28 = 8x
Subtract 5x from both sides:
-28 = 3x
Divide both sides by 3:
x = -28/3
Now substitute this value of x back into the second angle's equation to find its measure:
8x = 8 * (-28/3)
8x = -224/3
So, the measure of the second angle is -224/3 degrees.
NO ! chose 16% - 120% 128% or 52%
Apologies for the confusion. Let's solve the equation correctly this time.
To solve the equation, we set the two angles equal to each other:
(5x-28)° = (8x)°
Now, solve for x:
5x - 28 = 8x
Subtract 5x from both sides:
-28 = 3x
Divide both sides by 3:
x = -28/3
Now substitute this value of x back into the second angle's equation to find its measure:
8x = 8 * (-28/3)
8x = -224/3
Simplifying further:
8x = -224/3
x = (-224/3) / 8
x = -224/24
x = -28/3
Now substitute the value of x back into the second angle's equation:
8x = 8 * (-28/3)
8x = -224/3
So, the measure of the second angle is -224/3 degrees. However, none of the given options (16°, 120°, 128°, or 52°) match this answer.