A 180° angle (straight line) is formed by two adjacent angles. One angle has a measure of (2x+3)° and the other has a measure of (x−6)° . What are the measures of the two angles that make up the straight line?(1 point)
Responses
121° and 59°
121 degrees and 59 degrees
186° and 88°
186 degrees and 88 degrees
129° and 51°
129 degrees and 51 degrees
125° and 55°
To solve this problem, we can set up an equation where the sum of the two angles equals 180°.
(2x+3) + (x-6) = 180
Combining like terms:
3x - 3 = 180
Adding 3 to both sides:
3x = 183
Dividing both sides by 3:
x = 61
Now, we can substitute this value back into the original expressions to find the measures of the angles:
First angle: (2x+3) = (2(61)+3) = 125°
Second angle: (x-6) = (61-6) = 55°
Therefore, the measures of the two angles that form the straight line are 125° and 55°.