Two adjacent angles are on a straight line. One angle i (5x−28)° and the other angle is 8x°. What is the degree value of the second angle?
Since the two angles are adjacent and on a straight line, their sum is 180°.
So, we can write the equation:
(5x - 28)° + 8x° = 180°
Combining like terms, we get:
5x + 8x - 28 = 180
Combining like terms again, we get:
13x - 28 = 180
To isolate the variable, we add 28 to both sides:
13x = 208
Finally, we divide both sides by 13 to solve for x:
x = 16
Now we can substitute this value back into the second angle:
8x° = 8(16)° = 128°
Therefore, the degree value of the second angle is 128°.