A 180° angle (straight line) is formed by two adjacent angles. One angle has a measure of%C2%A0 (2x+3)° and the other has a measure of%C2%A0 (x−6)° . What are the measures of the two angles that make up the straight line?(1 point) Responses 125°%C2%A0and%C2%A055° 125 degrees %C2%A0and%C2%A0 55 degrees 186°%C2%A0and%C2%A088° 186 degrees %C2%A0and%C2%A0 88 degrees 129°%C2%A0and%C2%A051° 129 degrees %C2%A0and%C2%A0 51 degrees 121°%C2%A0and%C2%A059°

1 answer

To find the measures of the two angles, we can set up the equation:

(2x + 3)° + (x - 6)° = 180°

Combining like terms:

3x - 3 = 180

Adding 3 to both sides:

3x = 183

Dividing both sides by 3:

x = 61

Substituting the value of x back into the expressions for the angles:

(2x + 3)° = (2*61 + 3)° = 125°

(x - 6)° = (61 - 6)° = 55°

Therefore, the measures of the two angles are 125° and 55°.