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

125° and 55°
125 degrees and 55 degrees

121° and 59°
121 degrees and 59 degrees

186° and 88°
186 degrees and 88 degrees

129° and 51°

Answer 1

To find the measures of the two angles that add up to 180°, we can set up an 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 x back into the original expressions to find the measures of the angles:

First angle: 2x+3

= 2(61) + 3

= 122 + 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°.