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 the straight line?
Since the sum of the measures of two adjacent angles forming a straight line is 180 degrees, we can set up the following equation:
(2x + 3) + (x - 6) = 180
Combining like terms on the left side of the equation, we have:
3x - 3 = 180
Adding 3 to both sides of the equation:
3x = 183
Dividing both sides of the equation by 3:
x = 61
Substituting x = 61 back into the expressions for the two angles, we get:
2x + 3 = 2(61) + 3 = 123 + 3 = 126
x - 6 = 61 - 6 = 55
Therefore, the two angles that form a straight line are 126 degrees and 55 degrees.