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

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°

Answer 1

To find the measures of the two angles, we can set up an equation. The sum of the two adjacent angles is equal to 180°.

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

Combining like terms, we get:

3x - 3 = 180

Adding 3 to both sides:

3x = 183

Dividing both sides by 3:

x = 61

Now we can substitute x back into the expressions for the angles:

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

So the two angles that make up the straight line are 125° and 55°. Answer: 125 degrees and 55 degrees.