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15) choose the correct answer. the states that the sum of the measures …

Question

  1. choose the correct answer.

the states that the sum of the measures of the interior angles of a triangle is 180°.
360°
triangle sum theorem
\\( \frac { n ^ { 2 } - 3 n } { 2 } \\)
\\( ( n - 2 ) 180 ^ { circ } \\)

  1. choose the correct answer.

a polygon is named according to the number of of the polygon.
faces
sides
diagonals
beectors

Explanation:

Brief Explanations
  • For question 15:
  • The Triangle Sum Theorem specifically states that the sum of the interior angles of a triangle is \(180^{\circ}\). \(360^{\circ}\) is the sum of exterior angles of a polygon. \(\frac{n^{2}-3n}{2}\) is the formula for the number of diagonals in a polygon. \((n - 2)180^{\circ}\) is the formula for the sum of interior angles of an \(n\) - sided polygon.
  • For question 16:
  • A polygon is named based on the number of its sides. For example, a triangle has 3 sides, a quadrilateral has 4 sides. Faces are for 3 - D shapes. Diagonals are line segments connecting non - adjacent vertices. Bisectors are lines that divide angles or line segments.

Answer:

  1. B. Triangle Sum Theorem
  2. B. sides