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)

Question

Responses

121° and 59°
121 degrees and 59 degrees

125° and 55°
125 degrees and 55 degrees

186° and 88°
186 degrees and 88 degrees

129° and 51°

Answer 1

To find the measures of the two angles, we set up the equation:

(2x + 3) + (x - 6) = 180

Combining like terms, we get:

3x - 3 = 180

Adding 3 to both sides, we have:

3x = 183

Dividing both sides by 3, we get:

x = 61

Now we can substitute this value back into the expressions for both angles:

First angle: (2x + 3) = (2 * 61 + 3) = 125°
Second angle: (x - 6) = (61 - 6) = 55°

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