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?

Question

Options:
121 and 59 degrees
186 and 88 degrees
129 and 51 degrees
125 and 55 degrees

Answer 1

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.