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Sagot :
To determine the sum of the measures of the interior angles of a heptagon, we can use the formula for finding the sum of the interior angles of any polygon:
[tex]\[ \text{Sum of interior angles} = (n - 2) \times 180^\circ \][/tex]
where [tex]\( n \)[/tex] is the number of sides of the polygon.
Step-by-step:
1. Identify the number of sides of the polygon. A heptagon has:
[tex]\[ n = 7 \][/tex]
2. Substitute [tex]\( n = 7 \)[/tex] into the formula:
[tex]\[ \text{Sum of interior angles} = (7 - 2) \times 180^\circ \][/tex]
3. Perform the subtraction inside the parentheses:
[tex]\[ (7 - 2) = 5 \][/tex]
4. Multiply the result by 180 degrees:
[tex]\[ 5 \times 180^\circ = 900^\circ \][/tex]
Therefore, the sum of the measures of the interior angles of a heptagon is [tex]\( 900^\circ \)[/tex].
The correct answer is:
A. [tex]\( 900^\circ \)[/tex]
[tex]\[ \text{Sum of interior angles} = (n - 2) \times 180^\circ \][/tex]
where [tex]\( n \)[/tex] is the number of sides of the polygon.
Step-by-step:
1. Identify the number of sides of the polygon. A heptagon has:
[tex]\[ n = 7 \][/tex]
2. Substitute [tex]\( n = 7 \)[/tex] into the formula:
[tex]\[ \text{Sum of interior angles} = (7 - 2) \times 180^\circ \][/tex]
3. Perform the subtraction inside the parentheses:
[tex]\[ (7 - 2) = 5 \][/tex]
4. Multiply the result by 180 degrees:
[tex]\[ 5 \times 180^\circ = 900^\circ \][/tex]
Therefore, the sum of the measures of the interior angles of a heptagon is [tex]\( 900^\circ \)[/tex].
The correct answer is:
A. [tex]\( 900^\circ \)[/tex]
Answer: A
Step-by-step explanation:
Since a heptagon has 7 sides, we can use the formula (7 - 2) * 180. This equals 900, so the answer is 900
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