A 180 degree angle (straight line) is formed by two adjacent angles. One angle has a measure of (2x + 3) degree and the other has a measure of (x - 6) what are the measures of the two angles that make up the straight line?
Options:
121 and 59 degrees
186 and 88 degrees
129 and 51 degrees
125 and 55 degrees
To find the measures of the two angles, we set them equal to each other and solve for x:
2x + 3 = x - 6
Subtracting x from both sides:
x + 3 = -6
Subtracting 3 from both sides:
x = -9
Now we can substitute x back into one of the expressions for the angles to find their measures.
Angle 1: 2x + 3 = 2(-9) + 3 = -18 + 3 = -15 degrees
Angle 2: x - 6 = -9 - 6 = -15 degrees
Since both angles have a measure of -15 degrees, the correct answer is 125 and 55 degrees.