In this quiz, we test our understanding of the formula for the sum of the interior angles of a polygon.
Try to answer the questions before checking the answers at the bottom of the page.
Instructions
Answer each question using the formula:
Sum of Interior Angles \(= (n − 2) × 180^\circ\)
where:
\(n\) is the number of sides of the polygon.
Questions
Question 1
What is the sum of the interior angles of a triangle?
A) \(90^\circ\)
B) \(180^\circ\)
C) \(270^\circ\)
D) \(360^\circ\)
Question 2
What is the sum of the interior angles of a quadrilateral?
A) \(180^\circ\)
B) \(270^\circ\)
C) \(360^\circ\)
D) \(540^\circ\)
Question 3
What is the sum of the interior angles of a pentagon?
A) \(360^\circ\)
B) \(450^\circ\)
C) \(540^\circ\)
D) \(720^\circ\)
Question 4
What is the sum of the interior angles of a hexagon?
A) \(540^\circ\)
B) \(600^\circ\)
C) \(720^\circ\)
D) \(900^\circ\)
Question 5
A heptagon has \(7\) sides. What is the sum of its interior angles?
A) \(720^\circ\)
B) \(800^\circ\)
C) \(900^\circ\)
D) \(1080^\circ\)
Question 6
A polygon has \(8\) sides. What is the sum of its interior angles?
A) \(900^\circ\)
B) \(1080^\circ\)
C) \(1260^\circ\)
D) \(1440^\circ\)
Question 7
A polygon has \(10\) sides. What is the sum of its interior angles?
A) \(1260^\circ\)
B) \(1440^\circ\)
C) \(1620^\circ\)
D) \(1800^\circ\)
Question 8
A polygon has \(12\) sides. What is the sum of its interior angles?
A) \(1440^\circ\)
B) \(1620^\circ\)
C) \(1800^\circ\)
D) \(1980^\circ\)
Question 9
Which expression gives the sum of the interior angles of a polygon with n sides?
A) \(n × 180^\circ\)
B) \((n − 1) × 180^\circ\)
C) \((n − 2) × 180^\circ\)
D) \((n + 2) × 180^\circ\)
Question 10
Why do we subtract \(2\) in the formula?
Sum of Interior Angles \(= (n − 2) × 180^\circ\)
A) Because every polygon has \(2\) equal sides
B) Because every polygon can be split into \((n − 2)\) triangles
C) Because every polygon has \(2\) right angles
D) Because every polygon has \(2\) diagonals
Answer Key
- B) \(180^\circ\)
- C) \(360^\circ\)
- C) \(540^\circ\)
- C) \(720^\circ\)
- C) \(900^\circ\)
- B) \(1080^\circ\)
- B) \(1440^\circ\)
- C) \(1800^\circ\)
- C) \((n − 2) × 180^\circ\)
- B) Because every polygon can be split into \((n − 2)\) triangles
Practice
- Take the Quiz (Current page)
Continue Learning
- Sum of Interior Angles of a Polygon (Proof)
- Find Missing Interior Angles of a Polygon (Examples)
- Why Regular and Irregular Polygons Have Different Angle Formulas?