two adjacent angles on a straight line. one angle is (5x - 28) ° and the other angle is 8x°. what isb the degree valueb of the second angle? (1 point)
AAAaannndd the bot gets it wrong yet again!
8x + 5x-28 = 180
x = 16
so the two angles are 52° and 128°
To find the value of the second angle, we can set up the following equation:
(5x - 28) + 8x = 180
Combining like terms, we get:
13x - 28 = 180
Next, we'll isolate the variable by adding 28 to both sides:
13x = 208
Finally, we can solve for x by dividing both sides of the equation by 13:
x = 16
Now, we can substitute the value of x back into the second angle's expression:
8x = 8 * 16 = 128
Therefore, the degree value of the second angle is 128°.
To find the degree value of the second angle, we need to set up an equation and solve for x.
Given:
Angle 1 = (5x - 28)°
Angle 2 = 8x°
Since the two angles are adjacent and on a straight line, we know that the sum of their measures is equal to 180°.
So, we can write the equation as follows:
(5x - 28) + 8x = 180
To solve the equation, combine like terms:
13x - 28 = 180
Next, isolate the variable term by adding 28 to both sides:
13x = 208
Finally, divide both sides by 13 to solve for x:
x = 208/13
Now, we can substitute the value of x back into the expression for Angle 2 to find its measure:
Angle 2 = 8x
Angle 2 = 8 * (208/13)
Angle 2 = 128
Therefore, the degree value of the second angle is 128°.