What is the sum of the interior angles of a hexagon in degrees?

Unlock all questions

This demo includes only 20 questions. Upgrade to access hundreds of questions, flashcards, exam simulations, and disable ads.

Full question bankExam simulationsFlashcards
From $24.99Unlock all

Prepare for the CCC Common Core Pre-Test with our comprehensive quiz. Utilize detailed flashcards and multiple-choice questions, each accompanied by insights and explanations, to enhance your readiness for the exam!

Multiple Choice

What is the sum of the interior angles of a hexagon in degrees?

Explanation:
The sum of interior angles in any polygon can be found by dividing the shape into triangles from one vertex. A polygon with n sides can be split into n−2 triangles, and each triangle has 180 degrees, so the total is (n−2)×180 degrees. For a hexagon, n is 6, giving 6−2 = 4 triangles. 4 × 180 = 720 degrees. So the hexagon’s interior angles add up to 720 degrees. The other numbers correspond to polygons with different numbers of sides: 540 is a pentagon (3 triangles), 360 is a quadrilateral (2 triangles), and 900 would be a heptagon (5 triangles).

The sum of interior angles in any polygon can be found by dividing the shape into triangles from one vertex. A polygon with n sides can be split into n−2 triangles, and each triangle has 180 degrees, so the total is (n−2)×180 degrees. For a hexagon, n is 6, giving 6−2 = 4 triangles. 4 × 180 = 720 degrees. So the hexagon’s interior angles add up to 720 degrees. The other numbers correspond to polygons with different numbers of sides: 540 is a pentagon (3 triangles), 360 is a quadrilateral (2 triangles), and 900 would be a heptagon (5 triangles).

More Multiple Choice Questions
Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy