In this quiz, we test our understanding of the sum of exterior angles of convex polygons.
Try to answer the questions before checking the answers at the bottom of the page.
Instructions
Remember:
Sum of Exterior Angles \(= 360^\circ\)
This works for any convex polygon.
Also:
Exterior Angle \(= 180^\circ −\) Interior Angle
Questions
Question 1
What is the sum of the exterior angles of a convex polygon?
A) \(90^\circ\)
B) \(180^\circ\)
C) \(270^\circ\)
D) \(360^\circ\)
Question 2
What does one complete turn equal?
A) \(90^\circ\)
B) \(180^\circ\)
C) \(270^\circ\)
D) \(360^\circ\)
Question 3
Which statement is true about a convex polygon?
A) It has at least one interior angle greater than \(180^\circ\)
B) All its interior angles are less than \(180^\circ\)
C) It must have all sides equal
D) It must have all angles equal
Question 4
An exterior angle is formed when:
A) one side of the polygon is extended
B) the polygon is split into triangles
C) two diagonals are drawn
D) all sides are equal
Question 5
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 6
Which formula connects an exterior angle and an interior angle?
A) Exterior Angle \(= 360^\circ −\) Interior Angle
B) Exterior Angle \(= 180^\circ −\) Interior Angle
C) Exterior Angle \(= \frac{\text{Interior Angle}}{2}\)
D) Exterior Angle \(=\) Interior Angle \(× 2\)
Question 7
What is the sum of the exterior angles of a convex pentagon?
A) \(180^\circ\)
B) \(270^\circ\)
C) \(360^\circ\)
D) \(540^\circ\)
Question 8
What is the sum of the exterior angles of a convex hexagon?
A) \(180^\circ\)
B) \(360^\circ\)
C) \(540^\circ\)
D) \(720^\circ\)
Question 9
A convex quadrilateral has exterior angles:
\(70^\circ, 80^\circ, 100^\circ,\) and \(x\)
Find \(x\).
A) \(90^\circ\)
B) \(100^\circ\)
C) \(110^\circ\)
D) \(120^\circ\)
Question 10
A convex pentagon has exterior angles:
\(60^\circ, 75^\circ, 80^\circ, 65^\circ,\) and \(x\)
Find \(x\).
A) \(70^\circ\)
B) \(80^\circ\)
C) \(90^\circ\)
D) \(100^\circ\)
Answer Key
- D) \(360^\circ\)
- D) \(360^\circ\)
- B) All its interior angles are less than \(180^\circ\)
- A) one side of the polygon is extended
- C) \(180^\circ\)
- B) Exterior Angle \(= 180^\circ −\) Interior Angle
- C) \(360^\circ\)
- B) \(360^\circ\)
- C) \(110^\circ\)
- B) \(80^\circ\)
Practice
- Take the Quiz (Current page)
Continue Learning
- Sum of Exterior Angles of Regular Polygons (Proof)
- Sum of Exterior Angles of Convex Polygons (Proof)