A 180 degree angle (straight line) is formed by two adjacent angles. One angle has a measure of (2x + 3) degrees and the other has a measure of (x - 6) degrees. What are the measures of the two angles that make up the straight line?

Question

A. 125 degrees and 55 degrees
B. 129 degrees and 51 degrees
C. 186 degrees and 88 degrees
D. 121 degrees and 59 degrees

Answer 1

The sum of the two angles that make up a straight line is 180 degrees.

So, we can set up the equation: (2x + 3) + (x - 6) = 180

Combining like terms, we get: 3x - 3 = 180

Adding 3 to both sides, we get: 3x = 183

Dividing by 3, we get: x = 61

Now we can find the measures of the two angles:

First angle: 2(61) + 3 = 125 degrees
Second angle: 61 - 6 = 55 degrees

Therefore, the measures of the two angles are 125 degrees and 55 degrees.

So, the correct answer is A. 125 degrees and 55 degrees.