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Quiz – Sum of Exterior Angles of a Triangle

Test your understanding of exterior angles in a triangle.

Try to answer the questions before checking the answers at the bottom of the page.

Question 1

What is the sum of the exterior angles of a triangle?

A) \(180^\circ\)
B) \(270^\circ\)
C) \(360^\circ\)

Question 2

Two exterior angles are \(100^\circ\) and \(120^\circ\).

Find the third angle.

A) \(120^\circ\)
B) \(140^\circ\)
C) \(160^\circ\)

Question 3

Exterior angles are:

\(90^\circ, 150^\circ,\) and \(x\)

Find \(x\).

A) \(90^\circ\)
B) \(110^\circ\)
C) \(120^\circ\)

Question 4

Exterior angles are:

\(x, x,\) and \(120^\circ\)

Find \(x\).

A) \(100^\circ\)
B) \(110^\circ\)
C) \(120^\circ\)

Question 5

Exterior angles are:

\(x, 2x,\) and \(x\)

Find \(x\).

A) \(60^\circ\)
B) \(90^\circ\)
C) \(120^\circ\)

Question 6

Why is the sum of the exterior angles of a triangle equal to \(360^\circ\)?

A) They represent one complete turn around the triangle
B) Each exterior angle is \(90^\circ\)
C) The interior angles add to \(360^\circ\)

Question 7

Two exterior angles are \(130^\circ\) and \(110^\circ\).

Find the third exterior angle.

A) \(100^\circ\)
B) \(110^\circ\)
C) \(120^\circ\)

Question 8

The exterior angles of a triangle are:

\(x,\quad 2x,\quad 3x\)

Find \(x\).

A) \(45^\circ\)
B) \(60^\circ\)
C) \(90^\circ\)

Question 9

When walking around a triangle, what does each exterior angle represent?

A) The turn made at each vertex
B) The length of each side
C) The interior area of the triangle

Question 10

All three exterior angles of a triangle are equal.

What is the measure of each exterior angle?

A) \(90^\circ\)
B) \(120^\circ\)
C) \(180^\circ\)

Answers

  1. C – \(360^\circ\)
  2. B – \(140^\circ\)
  3. C – \(120^\circ\)
  4. C – \(120^\circ\)
  5. B – \(90^\circ\)
  6. A – They represent one complete turn around the triangle.
  7. C – \(120^\circ\)
  8. B – \(60^\circ\)
  9. A – The turn made at each vertex.
  10. B – \(120^\circ\)

Practice

  • More Examples
  • Take the Quiz (Current page)

Continue Learning

  1. Sum of Exterior Angles of a Triangle (Proof)
  2. Exterior Angle Theorem of a Triangle
  3. Two Exterior Angles at a Vertex are Equal (Proof)
  4. Two Exterior Angles are Equal at a Vertex (Quick Proof)

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