https://file.aiquickdraw.com/mathbot/file/1725660674700nb1ik2nu.jpg

The triangle in the image appears to include angle measures of \( 90^\circ \), \( 45^\circ \), and \( x \). To solve for \( x \), we can use the fact that the sum of angles in any triangle is always \( 180^\circ \).

Let's set up the equation:

\[
x + 45^\circ + 90^\circ = 180^\circ
\]

Solving for \( x \):

\[
x = 180^\circ - 90^\circ - 45^\circ = 45^\circ
\]

Thus, \( x = 45^\circ \).

Would you like more details or have any questions?

Here are 5 related questions to further your understanding:
1. What is the sum of angles in any triangle, and why?
2. How do you classify a triangle with angles of \( 90^\circ \) and two \( 45^\circ \) angles?
3. Can a triangle have two right angles? Why or why not?
4. What are the characteristics of an isosceles right triangle?
5. How can you use the Pythagorean theorem in right triangles?

**Tip:** When solving triangle problems, remember that the sum of interior angles is always \( 180^\circ \), which can simplify many calculations.

Solve for x in a triangle with angles 90°, 45°, and x.

Learn how to solve for x in a right triangle with angles of 90° and 45°. This geometry problem involves the Triangle Angle Sum Theorem and is suitable for students in Grades 6-8.

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