https://file.aiquickdraw.com/mathbot/file/17302911990319oh3v49h.jpg

**Hvað er hornið x stórt?** (°) Gefið er:
y = 32°

Let's analyze the given diagram and solve for angle \( x \).

### Step-by-Step Solution:

1. **Identify Angles in the Triangle:**
   - In the triangle on the left side, there are three angles. Let's label them based on the image:
     - \( 2x \) (at the bottom left of the triangle),
     - \( x^\circ \) (at the top of the triangle),
     - \( x^\circ \) (at the bottom right of the triangle, adjacent to \( y^\circ \)).

2. **Sum of Angles in a Triangle:**
   - The sum of the interior angles in a triangle is always \( 180^\circ \).
   - Therefore, we can write the equation for the triangle as:
     \[
     2x + x + x = 180^\circ
     \]
   - Simplifying this gives:
     \[
     4x = 180^\circ
     \]
   - Dividing both sides by 4:
     \[
     x = 45^\circ
     \]

Thus, the angle \( x \) is \( 45^\circ \).

Would you like a more detailed explanation, or do you have further questions?

### Follow-up Questions
1. What is the measure of angle \( 2x \) given that \( x = 45^\circ \)?
2. If \( y = 32^\circ \), what is the total angle where \( x \) and \( y \) meet on the right side?
3. How would the solution change if \( y \) were a different value?
4. Can we use the exterior angle theorem in this problem?
5. How does this problem illustrate the properties of angle sums in triangles?

### Tip:
Always remember that the sum of the interior angles in any triangle is \( 180^\circ \). This rule is fundamental for solving problems involving unknown angles in triangles.

Hvað er hornið x stórt? (°) Gefið er: y = 32°

Learn how to determine the measure of angle x in a triangle with a given angle y = 32°. This solution involves using the Triangle Angle Sum Theorem, a core concept in geometry, and is suitable for students in Grades 7-9.

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