Since the two angles form a straight line, their measures sum up to 180 degrees. Therefore, we can form the following equation:
(2x + 3) + (x - 6) = 180
Combining like terms:
2x + 3 + x - 6 = 180
3x - 3 = 180
Adding 3 to both sides:
3x - 3 + 3 = 180 + 3
3x = 183
Dividing by 3:
3x/3 = 183/3
x = 61
Now we can determine the measures of the two angles:
Angle 1 = 2x + 3 = 2(61) + 3 = 122 + 3 = 125 degrees
Angle 2 = x - 6 = 61 - 6 = 55 degrees
Therefore, the measures of the two angles that make up the straight line are 125 degrees and 55 degrees.
a 180 degree angle (straight line) is formed by two adjacent angles. one angle has a measure lf (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
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