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
125° and 55°
125 degrees and 55 degrees
129° and 51°
129 degrees and 51 degrees
121° and 59°
121 degrees and 59 degrees
186° and 88°
To find the measures of the two angles that make up the straight line (180°), you need to set up an equation. The sum of the two angles should be equal to 180°.
(2x+3)° + (x-6)° = 180°
Combine like terms:
3x - 3 = 180
Add 3 to both sides:
3x = 183
Divide by 3:
x = 61
Now substitute the value of x back into each angle expression:
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°.