Ross Savage
06/11/2024 · High School
Find the sum of the measures of the angles of the 17. Polygon in item 1 18. Polygon in item 2 19. Polygon in item 6
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Step-by-step Solution
To find the sum of the measures of the angles of a polygon, you can use the formula:
\[
\text{Sum of interior angles} = (n - 2) \times 180^\circ
\]
where \( n \) is the number of sides of the polygon.
Since I don't have the specific details of items 1, 2, and 6, I will provide a general approach. You can apply this formula to any polygon by substituting the number of sides.
1. **For the polygon in item 1**: If it has \( n_1 \) sides, the sum of the angles is:
\[
(n_1 - 2) \times 180^\circ
\]
2. **For the polygon in item 2**: If it has \( n_2 \) sides, the sum of the angles is:
\[
(n_2 - 2) \times 180^\circ
\]
3. **For the polygon in item 6**: If it has \( n_6 \) sides, the sum of the angles is:
\[
(n_6 - 2) \times 180^\circ
\]
If you provide the number of sides for each polygon, I can calculate the specific sums for you.
Quick Answer
To find the sum of the angles in a polygon, use the formula: \((n - 2) \times 180^\circ\), where \( n \) is the number of sides. Apply this to each polygon by substituting its number of sides.
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