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monstergirl25
02.07.2019 •
Mathematics
Given: an n-gon prove: the sum of the measures of the interior angles is 180(n – 2)°. complete the missing parts of the paragraph proof. we are given an n-gon, which has n sides and n vertices. if we choose one of the vertices, we can draw diagonals. these diagonals form triangles. the sum of the interior angle measures of a triangle is degrees. n – 2 triangles would have an interior angle measure sum of . therefore, the sum of the measures of the interior angles of an n-gon is 180(n – 2)°. word bank: n - 2n - 3180 (n - 2)180 blank 1:
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Ответ:
Given: an n-gon
Prove: The sum of the measures of the interior angles is 180(n – 2)°.
Complete the missing parts of the paragraph proof.
We are given an n-gon, which has n sides and n vertices.
Answers:
1. If we choose one of the vertices, we can draw n-3 diagonals.
2. These diagonals form n-2 triangles.
3. The sum of the interior angle measures of a triangle is 180 degrees.
4. n – 2 triangles would have an interior angle measure sum of 180 degrees.
5. Therefore, the sum of the measures of the interior angles of an n-gon is 180(n – 2)°.
Ответ:
The answer is B. Statement:∠AFE ≅ ∠AFD Reason: Transitive Property of Equality
Step-by-step explanation:
∠AFE ≅ ∠AFD equal each other, and Transitive Property of Equality is the correct reason.
This answer is correct as a Edmentum student!