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 125° and 55° 125 degrees and 55 degrees 121° and 59° 121 degrees and 59 degrees 186° and 88° 186 degrees and 88 degrees 129° and 51°
To find the measures of the two angles that make up the straight line, we can set up an equation:
(2x + 3) + (x - 6) = 180
Combine like terms:
3x - 3 = 180
Add 3 to both sides:
3x = 183
Divide both sides by 3:
x = 61
Now we can substitute x back into the expressions for the angles:
Angle 1: 2x + 3 = 2(61) + 3 = 122 + 3 = 125°
Angle 2: x - 6 = 61 - 6 = 55°
Therefore, the measures of the two angles that make up the straight line are 125° and 55°. Answer: 125 degrees and 55 degrees.