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°.
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°
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