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)%0D%0AResponses%0D%0A%0D%0A125° and 55°%0D%0A125 degrees and 55 degrees%0D%0A%0D%0A121° and 59°%0D%0A121 degrees and 59 degrees%0D%0A%0D%0A129° and 51°%0D%0A129 degrees and 51 degrees%0D%0A%0D%0A186° and 88°
To find the measures of the two angles that make up a straight line, their sum should equal 180°.
Given that one angle measures (2x+3)° and the other angle measures (x−6)°, we can set up the equation:
(2x+3) + (x−6) = 180
Simplifying the equation:
3x - 3 = 180
Adding 3 to both sides:
3x = 183
Dividing both sides by 3:
x = 61
So, one angle measures (2(61)+3)° = 125°, and the other angle measures (61−6)° = 55°.
Therefore, the measures of the two angles that make up a straight line are 125° and 55°.