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
129° and 51°
129 degrees and 51 degrees
125° and 55°
125 degrees and 55 degrees
121° and 59°
121 degrees and 59 degrees
186° and 88°
To find the measures of the two angles, we can set up an equation. The sum of the two adjacent angles is equal to 180°.
(2x+3) + (x-6) = 180
Combining like terms, we get:
3x - 3 = 180
Adding 3 to both sides:
3x = 183
Dividing both sides by 3:
x = 61
Now we can substitute x back into the expressions for the angles:
First angle: 2x+3 = 2(61)+3 = 125°
Second angle: x-6 = 61-6 = 55°
So the two angles that make up the straight line are 125° and 55°. Answer: 125 degrees and 55 degrees.