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
121° and 59°
121 degrees and 59 degrees
186° and 88°
186 degrees and 88 degrees
129° and 51°
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°.