Final answer:
To find the measures of two vertical angles given as (x+3)° and (2x-3)°, we set them equal to each other to find x=6. Subsequently, we determine that both angles measure 9°.
Step-by-step explanation:
The student's question concerns the measurement of vertical angles. Vertical angles are equal in measure, so we set up the equation (x + 3)° = (2x - 3)° to find the value of x. Solving for x, we subtract x from both sides to get 3° = x - 3°. Adding 3° to both sides gives us x = 6. With x found, we can calculate the angles: the first angle is (x + 3)° = (6 + 3)° = 9° and the second angle is (2x - 3)° = (2×6 - 3)° = (12 - 3)° = 9°. Therefore, both vertical angles measure 9°.