In this quiz, we test our understanding of the sum of exterior angles of regular polygons.
Try to answer the questions before checking the answers at the bottom of the page.
Instructions
Remember:
Sum of Exterior Angles \(= 360^\circ\)
For a regular polygon:
Each Exterior Angle \(= \frac{360^\circ}{n}\)
where:
\(n\) is the number of sides of the regular polygon.
Questions
Question 1
What is the sum of the exterior angles of a regular polygon?
A) \(90^\circ\)
B) \(180^\circ\)
C) \(270^\circ\)
D) \(360^\circ\)
Question 2
What does a full turn equal?
A) \(90^\circ\)
B) \(180^\circ\)
C) \(270^\circ\)
D) \(360^\circ\)
Question 3
Which formula gives each exterior angle of a regular polygon?
A) \(\frac{180^\circ}{n}\)
B) \(\frac{360^\circ}{n}\)
C) \(\frac{n}{360^\circ}\)
D) \(n × 180^\circ\)
Question 4
Find each exterior angle of a regular triangle.
A) \(60^\circ\)
B) \(90^\circ\)
C) \(120^\circ\)
D) \(180^\circ\)
Question 5
Find each exterior angle of a square.
A) \(45^\circ\)
B) \(60^\circ\)
C) \(90^\circ\)
D) \(120^\circ\)
Question 6
Find each exterior angle of a regular pentagon.
A) \(60^\circ\)
B) \(72^\circ\)
C) \(90^\circ\)
D) \(108^\circ\)
Question 7
Find each exterior angle of a regular hexagon.
A) \(45^\circ\)
B) \(60^\circ\)
C) \(72^\circ\)
D) \(90^\circ\)
Question 8
Find each exterior angle of a regular octagon.
A) \(30^\circ\)
B) \(40^\circ\)
C) \(45^\circ\)
D) \(60^\circ\)
Question 9
An exterior angle and its interior angle form a straight angle.
What is the measure of a straight angle?
A) \(90^\circ\)
B) \(120^\circ\)
C) \(180^\circ\)
D) \(360^\circ\)
Question 10
Why do the exterior angles of a regular polygon add up to \(360^\circ\)?
A) Because they form a full turn around the polygon
B) Because every polygon has \(360\) sides
C) Because every interior angle is \(360^\circ\)
D) Because every exterior angle is \(180^\circ\)
Answer Key
- D) \(360^\circ\)
- D) \(360^\circ\)
- B) \(\frac{360^\circ}{n}\)
- C) \(120^\circ\)
- C) \(90^\circ\)
- B) \(72^\circ\)
- B) \(60^\circ\)
- C) \(45^\circ\)
- C) \(180^\circ\)
- A) Because they form a full turn around the polygon
Practice
- Take the Quiz (Current page)
Continue Learning
- Sum of Exterior Angles of Regular Polygons (Proof)
- Sum of Exterior Angles of Convex Polygons (Proof)