https://file.aiquickdraw.com/mathbot/file/1727303691484txwck6wa.jpg

The image shows a triangle with angles labeled as follows:

- One angle is \( v + 36^\circ \),
- Another angle is \( v + 21^\circ \),
- The third angle is \( 67^\circ \).

We know that the sum of the angles in any triangle must equal \( 180^\circ \). Using this information, we can set up an equation:

\[
(v + 36^\circ) + (v + 21^\circ) + 67^\circ = 180^\circ
\]

Now, let’s simplify this equation:

\[
2v + 36^\circ + 21^\circ + 67^\circ = 180^\circ
\]
\[
2v + 124^\circ = 180^\circ
\]
\[
2v = 180^\circ - 124^\circ
\]
\[
2v = 56^\circ
\]
\[
v = 28^\circ
\]

So, the value of \( v \) is \( 28^\circ \).

Would you like a further explanation, or have any other questions? 

Here are five related questions to consider:
1. What is the total of the three angles once you substitute \( v = 28^\circ \)?
2. How would the equation change if one of the angles was obtuse?
3. What is the relationship between the internal angles of a triangle and its side lengths?
4. Can you determine if this triangle is acute, obtuse, or right-angled?
5. How would the problem change if it were an isosceles triangle?

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

The diagram shows a triangle with angles v + 36°, v + 21°, and 67°. What is the value of v?

Learn how to find the value of v in a triangle with angles labeled v + 36°, v + 21°, and 67°. This problem uses the angle sum property of triangles and involves solving a basic algebraic equation. Suitable for students in Grades 6-8.

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