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
121° and 59°
121 degrees and 59 degrees
129° and 51°
129 degrees and 51 degrees
186° and 88°
186 degrees and 88 degrees
125° and 55°
To find the measures of the two angles, we can set up an equation using the fact that the sum of the two angles is equal to 180°:
(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°
Now we can substitute the value of x back into the expressions for the angles:
Angle 1: (2(61)+3)° = 125°
Angle 2: (61-6)° = 55°
So, the measures of the two angles that make up the straight line are 125° and 55°.