https://file.aiquickdraw.com/mathbot/file/1725788452776nhoz8782.jpg

The problem involves finding the value of \(m\) in a composite shape involving angles. Here is how we can solve it:

### Step-by-Step Solution:

1. **Identify the angles and setup equations:**
   - The shape provided seems to be a quadrilateral with three known angles: \(25^\circ\), \(60^\circ\), and \(50^\circ\).
   - We know that the sum of the interior angles of a quadrilateral is \(360^\circ\).

2. **Set up the equation for the unknown angle \(m\):**
   - Let the unknown angle be \(m\).
   - Using the sum of the interior angles:
   \[
   25^\circ + 60^\circ + 50^\circ + m = 360^\circ
   \]

3. **Solve for \(m\):**
   \[
   m = 360^\circ - (25^\circ + 60^\circ + 50^\circ)
   \]
   \[
   m = 360^\circ - 135^\circ
   \]
   \[
   m = 225^\circ
   \]

### Conclusion:
The value of \(m\) is **225 degrees**.

If you need further explanation or have any questions, please let me know!

### Related Questions:
1. What is the sum of the interior angles for a polygon with \(n\) sides?
2. How would you find an unknown angle in a triangle?
3. What is the relationship between the exterior and interior angles of a polygon?
4. How do you calculate angles in a regular polygon?
5. What are the properties of a quadrilateral?

**Tip:** Always remember that the sum of the interior angles of a quadrilateral is \(360^\circ\).

Find the value of m in the given composite shape.

Learn how to find the unknown angle m in a quadrilateral using the angle sum property. This problem is suitable for students in Grades 6-8 and covers key geometric concepts.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation