In the image, we see a right angle with two angles given:

• One angle is labeled as $47^\circ$.
• The other angle is labeled as $(2x - 3)^\circ$.

Since these two angles form a right angle (which is $90^\circ$), the sum of the angles must be $90^\circ$. Therefore, we can set up the following equation:

$47^\circ + (2x - 3)^\circ = 90^\circ$

Now, let's solve this equation step by step:

1. Combine like terms: $47 + (2x - 3) = 90$ $47 - 3 + 2x = 90$ $44 + 2x = 90$

2. Subtract 44 from both sides: $2x = 90 - 44$ $2x = 46$

3. Divide by 2: $x = \frac{46}{2}$ $x = 23$

Thus, the value of $x$ is $23$.

Would you like a more detailed explanation or have any other questions?

Here are some related questions:

1. What is the measure of the unknown angle when $x = 23$?
2. How do we use complementary angles in geometry?
3. Can we apply this same technique for other angles in a triangle?
4. What are the different ways to identify a right angle in geometric figures?
5. How does this problem change if the angle given was obtuse?

Tip: In geometry, angles that add up to 90° are called complementary angles.