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
186° and 88°
186 degrees and 88 degrees
125° and 55°
125 degrees and 55 degrees
129° and 51°
129 degrees and 51 degrees
121° and 59°
To find the measures of the two angles that make up the straight line, we need to set up the equation:
(2x+3)° + (x-6)° = 180°
Combine like terms:
3x - 3 = 180
Add 3 to both sides:
3x = 183
Divide by 3:
x = 61
Now we can substitute x back into the original expressions to find the measures of the angles:
(2x+3)° = 2(61) + 3 = 123 + 3 = 126°
(x-6)° = 61 - 6 = 55°
Therefore, the measures of the two angles that make up the straight line are 126° and 55°.
125° and 55° is the closest option, but the correct answer is 126° and 55°.