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
129° and 51°
129 degrees and 51 degrees
125° and 55°
125 degrees and 55 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, we can set up an equation.
The sum of the two angles must equal 180°, so we can write the equation as:
(2x + 3) + (x - 6) = 180
Combine like terms:
3x - 3 = 180
Add 3 to both sides:
3x = 183
Divide both sides by 3:
x = 61
Now we can substitute this value back into the original expressions to find the measures of the two angles:
Angle 1 = 2x + 3 = 2(61) + 3 = 122 + 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°.
The correct response is:
125 degrees and 55 degrees