Question
Two adjacent angles are on a straight line. One angle has a measure of (x-28)° and the other angle has a measure of (8x)°. What is the measure of the second angle?
Answers
GPT 3.5
Since the two angles are adjacent and on a straight line, their measures should add up to 180°.
So, we have the equation: (x-28)° + (8x)° = 180°.
Combining like terms gives us: 9x-28 = 180.
Adding 28 to both sides of the equation: 9x = 208.
Dividing both sides by 9: x = 208/9.
Thus, the measure of the second angle, which is 8x, is 8 * (208/9) = 208/9 * 8 = 1664/9 = 184.44°. Answer: \boxed{184.44}.
So, we have the equation: (x-28)° + (8x)° = 180°.
Combining like terms gives us: 9x-28 = 180.
Adding 28 to both sides of the equation: 9x = 208.
Dividing both sides by 9: x = 208/9.
Thus, the measure of the second angle, which is 8x, is 8 * (208/9) = 208/9 * 8 = 1664/9 = 184.44°. Answer: \boxed{184.44}.