what is the value of x if the given are 110⁰,2x⁰,and x⁰

You have three angles: \( 110^\circ \), \( 2x^\circ \), and \( x^\circ \).

If these angles form part of a triangle, the sum of the interior angles of a triangle is always \( 180^\circ \). Therefore, you can set up the following equation:

\[
110^\circ + 2x^\circ + x^\circ = 180^\circ
\]

### Step 1: Combine like terms.
\[
110^\circ + 3x^\circ = 180^\circ
\]

### Step 2: Subtract \( 110^\circ \) from both sides.
\[
3x^\circ = 180^\circ - 110^\circ
\]
\[
3x^\circ = 70^\circ
\]

### Step 3: Solve for \( x \).
\[
x = \frac{70^\circ}{3}
\]
\[
x = 23.33^\circ
\]

So, the value of \( x \) is approximately \( 23.33^\circ \).

Would you like further details or have any questions?

Here are 5 related questions to expand your knowledge:
1. How do you solve equations involving multiple angles?
2. How is the sum of interior angles determined for polygons other than triangles?
3. What are some common properties of triangle angles?
4. Can two angles be expressed as linear functions in similar problems?
5. How do exterior angles relate to interior angles in polygons?

**Tip:** Always verify the type of shape or figure when working with angle sums—different shapes have different angle properties!

What is the value of x if the given are 110⁰, 2x⁰, and x⁰?

Learn how to find the value of x in a triangle where the angles are given as 110°, 2x°, and x°. This step-by-step solution covers essential geometry concepts such as the sum of interior angles of a triangle and solving linear equations. Suitable for students in Grades 6-8.

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