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 121° and 59° 121 degrees and 59 degrees 186° and 88° 186 degrees and 88 degrees 125° and 55°

1 answer

The sum of two adjacent angles forming a straight line is 180°. Therefore, we can set up the equation: (2x + 3) + (x - 6) = 180.

Simplifying the equation:
3x - 3 = 180
3x = 183
x = 61

Now, we can substitute the value of x back into the expressions for 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° and 55°.