https://file.aiquickdraw.com/mathbot/file/1729267330853ubexhzan.jpg

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.

In the image, there is a right angle with two angles given: one labeled as 47° and the other as (2x - 3)°. Find the value of x.

Learn how to solve for x in a complementary angle equation where one angle is (2x - 3)° and the other is 47°. This problem explores algebra and geometry concepts suitable for students in Grades 7-9.

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