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The sum of the two adjacent angles that form a straight line is always 180°.
So, we have the equation: (2x+3)° + (x-6)° = 180°
Combining like terms, we get: 3x - 3 = 180
Adding 3 to both sides, we have: 3x = 183
Dividing both sides by 3, we get: x = 61
Now, substituting the value of x back into the equations:
First angle = (2x+3)° = (2(61) + 3)° = 123° + 3° = <<2*61+3=125>>125°
Second angle = (x-6)° = (61-6)° = 55°
Therefore, the measures of the two angles that make up the straight line are 125° and 55°.