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

129° and 51°
129 degrees and 51 degrees

186° and 88°
186 degrees and 88 degrees

125° and 55°

Answer 1

To find the measures of the two angles, we can set up an equation using the fact that the sum of the two angles is equal to 180°:

(2x+3)° + (x-6)° = 180°

Combining like terms:

3x - 3 = 180°

Adding 3 to both sides:

3x = 183°

Dividing both sides by 3:

x = 61°

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

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

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