The sum of two adjacent angles that form a straight line (180°) is always 180 degrees. Therefore, we can set up the equation:
(2x+3)° + (x-6)° = 180°
Simplifying the equation, we get:
3x - 3 = 180
Adding 3 to both sides, we get:
3x = 183
Dividing both sides by 3, we get:
x = 61
Now that we have found the value of x, we can substitute it back into the original expressions to find the values of the two unknown angles:
First angle: (2x+3)° = (2*61+3)° = 125°
Second angle: (x-6)° = (61-6)° = 55°
Therefore, the two unknown angles are 125° and 55°.