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
129° and 51°
129 degrees and 51 degrees
121° and 59°
121 degrees and 59 degrees
125° and 55°
125 degrees and 55 degrees
186° and 88°
To find the measures of the two angles that make up the straight line, we need to set up an equation using the fact that the sum of adjacent angles in a straight line is 180°.
So, we have the equation:
(2x + 3) + (x - 6) = 180°
Simplifying the equation, we get:
3x - 3 = 180°
Adding 3 to both sides, we get:
3x = 183°
Dividing both sides by 3, we get:
x = 61°
Now that we know the value of x, we can substitute it back into the expressions for the two angles:
Angle 1: 2x + 3 = 2(61) + 3 = 123 + 3 = 126°
Angle 2: x - 6 = 61 - 6 = 55°
Therefore, the measures of the two angles that make up the straight line are 126° and 55°.
The correct answer is: 186° and 88°