To calculate the missing angle of the hexagon:

Step-by-Step Solution:

1. Sum of Interior Angles of a Hexagon: The formula for the sum of interior angles of a polygon is: $\text{Sum of interior angles} = (n - 2) \times 180^\circ$ For a hexagon ($n = 6$): $\text{Sum} = (6 - 2) \times 180^\circ = 720^\circ$

2. Add the Known Angles: The given angles are: $132^\circ, 136^\circ, 125^\circ, 108^\circ, 110^\circ$ Their sum is: $132 + 136 + 125 + 108 + 110 = 611^\circ$

3. Calculate the Missing Angle: Subtract the sum of the known angles from the total sum: $\text{Missing angle} = 720^\circ - 611^\circ = 109^\circ$

Final Answer:

The missing angle is 109°.

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Related Questions:

1. How do you calculate the sum of interior angles for any polygon?
2. What is the formula for the exterior angle of a regular polygon?
3. Can the angles of an irregular polygon ever add up to less than $(n-2) \times 180^\circ$?
4. How would the calculation change for a heptagon (7 sides)?
5. What are practical applications of calculating angles in polygons?

Tip:

Always double-check the sum of given angles before calculating the missing angle to ensure no input errors.