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 125° and 55° 125 degrees and 55 degrees 129° and 51°
To find the measures of the two angles that make up the straight line, we can set up an equation. The sum of the two angles should equal 180°.
(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 original expressions to find the measures of the angles:
Angle 1: (2x+3)° = (2*61+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°.
The correct answer is:
125 degrees and 55 degrees.