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
A. 125° and 55°
125 degrees and 55 degrees
B. 129° and 51°
129 degrees and 51 degrees
C. 186° and 88°
186 degrees and 88 degrees
D. 121° and 59°
To solve this problem, we need to set up an equation since we know that the sum of the two angles is 180 degrees.
(2x+3) + (x-6) = 180
Combining like terms, we have:
3x - 3 = 180
Adding 3 to both sides, we have:
3x = 183
Dividing both sides by 3, we have:
x = 61
Now we can substitute x back into the expressions for the two angles:
Angle 1: 2x + 3 = 2(61) + 3 = 122 + 3 = 125 degrees
Angle 2: x - 6 = 61 - 6 = 55 degrees
Therefore, the measures of the two angles that make up the straight line are 125 degrees and 55 degrees. The answer is:
A. 125° and 55°