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

Answer 1

The two angles that make up a straight line have a sum of 180°. So,
(2x+3)° + (x-6)° = 180°
Combining like terms,
3x - 3 = 180
Add 3 to both sides,
3x = 183
Divide both sides by 3,
x = 61
Now we can plug x back into the expressions for the angles to find their measures:
First angle: (2x+3)° = (2*61+3)° = 125°
Second angle: (x-6)° = (61-6)° = 55°
Therefore, the measures of the two angles that make up the straight line are 125° and 55°.