Solve for m, angle, C, D, Em∠CDE.
C
D
F
E
66°
34°
Your Answer

It seems like you're asking to solve for an unknown value related to angles in a geometric figure involving points \( C \), \( D \), \( E \), and \( F \). Let's break down the problem based on what you've provided:

- Given angles: \( \angle CDE = m \), \( \angle FCD = 66^\circ \), and \( \angle FDC = 34^\circ \).
  
Since you are working with angles around a triangle, we can apply the **angle sum property of a triangle**, which states that the sum of all interior angles in a triangle is always \( 180^\circ \).

### Steps:
1. We are likely dealing with triangle \( CDF \).
2. The interior angles of triangle \( CDF \) are \( \angle FCD \), \( \angle FDC \), and \( \angle CDF \).
3. From the angle sum property:
   \[
   \angle FCD + \angle FDC + \angle CDF = 180^\circ
   \]
   Substituting the known values:
   \[
   66^\circ + 34^\circ + \angle CDF = 180^\circ
   \]
   Simplifying:
   \[
   100^\circ + \angle CDF = 180^\circ
   \]
   \[
   \angle CDF = 80^\circ
   \]

Now, \( \angle CDE = 80^\circ \).

Thus, \( m = 80^\circ \).

### Summary:
- \( m = 80^\circ \)
- \( \angle CDE = 80^\circ \)

Would you like a further breakdown or clarification of these steps?

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Here are 5 related questions:
1. How is the angle sum property of a triangle useful in geometric problems?
2. Can you explain what supplementary and complementary angles are?
3. What are the properties of different types of triangles?
4. How do you solve problems involving exterior angles in a triangle?
5. What role do adjacent angles play in geometry?

**Tip:** Always remember the angle sum property when solving problems involving triangles—it helps solve for unknown angles quickly!

Solve for m, angle, C, D, Em∠CDE. C D F E 66° 34°

Learn how to solve for angle m in triangle CDF, given two angles of 66° and 34°. This problem covers the angle sum property of triangles, where the sum of all interior angles equals 180°. Suitable for students in Grades 7-9.

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