Solve for m, angle, F, G, Hm∠FGH.
F
G
I
H
43°
29°
Your Answer

It seems like you're asking for information related to a geometric figure, where you're trying to solve for \( m \angle FGH \), but the description of the problem isn't fully clear. Based on the angles you provided, \( 43^\circ \) and \( 29^\circ \), it seems like we may be dealing with a triangle or a specific part of it.

If you are solving for \( m \angle FGH \) (the measure of the angle \( \angle FGH \)) within a triangle \( FGH \), here’s the process based on assumptions:

### Triangle Angle Sum Property:
In a triangle, the sum of the interior angles is always \( 180^\circ \). So, if you know two angles, you can find the third angle by subtracting the sum of the known angles from \( 180^\circ \).

### Step-by-Step Solution:
1. Suppose you have:
   - \( \angle F = 43^\circ \)
   - \( \angle G = 29^\circ \)

2. Using the angle sum property:
   \[
   \angle H = 180^\circ - (43^\circ + 29^\circ) = 180^\circ - 72^\circ = 108^\circ
   \]

Thus, \( m \angle FGH = 108^\circ \).

Let me know if this assumption is correct or if you need more clarification! 

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### Related Questions:
1. What is the sum of interior angles of any polygon?
2. How do you calculate exterior angles in a polygon?
3. How do you calculate angles when working with isosceles triangles?
4. Can a triangle have angles summing to more than 180°?
5. How can you apply trigonometry to find unknown sides in a triangle?

### Tip: 
Always ensure you have the complete information about the figure, such as all angle measures or side lengths, to avoid assumptions in geometry problems.

Solve for m∠FGH, given angles F = 43°, G = 29°.

Learn how to find the measure of angle FGH in a triangle using the Triangle Angle Sum Theorem. This problem uses known angles F = 43° and G = 29°, and is suitable for students in Grades 6-8.

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