https://file.aiquickdraw.com/mathbot/file/1729931529618gj2tv65d.jpg

The problem requires finding the value of \( x \) in a triangle, where the angles are labeled as follows:

1. Two angles are each labeled \( x \) degrees.
2. One angle is labeled \( 2x + 110^\circ \).

### Solution:
In any triangle, the sum of the interior angles is \( 180^\circ \). We can set up the following equation based on this property:

\[
x + x + (2x + 110) = 180
\]

Simplify the equation:

1. Combine like terms:
   \[
   4x + 110 = 180
   \]

2. Subtract 110 from both sides:
   \[
   4x = 70
   \]

3. Divide by 4:
   \[
   x = 17.5
   \]

### Answer:
The value of \( x \) is \( 17.5^\circ \).

Would you like further details, or do you have any questions?

---

Here are some related questions for further practice:

1. What is the sum of the interior angles in a quadrilateral?
2. How do we determine if a triangle is isosceles or scalene based on angles?
3. What is the exterior angle theorem for triangles?
4. How do we calculate the missing angle if given two angles in a triangle?
5. What properties do equilateral triangles have?

**Tip:** Always remember that the sum of interior angles in any triangle is \( 180^\circ \).

Find the value of x given a triangle with two angles labeled x and one angle labeled 2x + 110°.

Learn how to find the value of x in a triangle where two angles are labeled x and the third angle is labeled 2x + 110°. This solution involves using the Triangle Angle Sum Theorem, which states that the sum of interior angles in a triangle is 180°. Suitable for Grade 7 geometry students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation