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
186° and 88°
186 degrees and 88 degrees
121° and 59°

1 answer

To find the measures of the two angles that make up the straight line, we can set up the equation:

(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 the value of x back into the expressions for the angles:

Angle 1: 2x + 3 = 2(61) + 3 = 125°
Angle 2: x - 6 = 61 - 6 = 55°

So the measures of the two angles that make up the straight line are 125° and 55°.

The correct answer is:
125° and 55°