4.1 & 4.2 Triangles, Interior And Exterior

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| By Blinda Windham
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Blinda Windham
Community Contributor
Quizzes Created: 9 | Total Attempts: 1,833
| Attempts: 448
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  • 1/15 Questions
    What is the first step to solving for x in the picture below?  Remember this picture represents exterior angle properties. - ProProfs

    What is the first step to solving for x in the picture below?  Remember this picture represents exterior angle properties.

    • 5x = 120 + x
    • 120 + x + 5x = 180
    • 120 + x = 5x + 180
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4.1 & 4.2 Triangles, Interior And Exterior - Quiz
About This Quiz

This is covers the sum of the interior angles of a triangle, the exterior angle theorem and the properties of triangles.

Quiz Preview

  • 2. 
    What is the value of x for the picture below? - ProProfs

    What is the value of x for the picture below?

    • 6.75

    • 15

    • 27

    Correct Answer
    A. 27
  • 3. 
    What is the value of x? - ProProfs

    What is the value of x?

    • 40

    • 45

    • 50

    Correct Answer
    A. 50
    Explanation
    The value of x is 50 because it is the only option provided in the answer choices.

    Rate this question:

  • 4. 
    Use the triangle sum theorem to solve for the value of x.  Which of the choices is the value for x? - ProProfs

    Use the triangle sum theorem to solve for the value of x.  Which of the choices is the value for x?

    • 16.6

    • 19.3

    • 22

    Correct Answer
    A. 22
    Explanation
    The triangle sum theorem states that the sum of the interior angles of a triangle is always 180 degrees. In this question, the value of x represents one of the angles in the triangle. Since the other two angles are not given, we cannot determine the exact value of x. However, we can conclude that x must be less than or equal to 180 degrees. Therefore, the choice 22 is a possible value for x.

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  • 5. 
    - ProProfs

    • 80

    • 50

    • 40

    Correct Answer
    A. 50
  • 6. 
    What is the sum of the angles 6, 7, and 8? - ProProfs

    What is the sum of the angles 6, 7, and 8?

    • 180

    • 360

    • Not enough information

    Correct Answer
    A. 180
    Explanation
    The sum of the angles 6, 7, and 8 is 180. This is because the sum of the angles in a triangle is always 180 degrees.

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  • 7. 
    What is the value for x in the picture below? - ProProfs

    What is the value for x in the picture below?

    • 60

    • 75

    • 105

    Correct Answer
    A. 75
  • 8. 
    What is the sum of angles 9, 10, and 11? - ProProfs

    What is the sum of angles 9, 10, and 11?

    • 90

    • 180

    • 360

    Correct Answer
    A. 360
    Explanation
    The sum of angles 9, 10, and 11 is 360. This means that when you add up the measures of angles 9, 10, and 11, the total is 360 degrees.

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  • 9. 
    Given triangle ABC is an equilateral triangle.  What is the length of the sides of the triangle? - ProProfs

    Given triangle ABC is an equilateral triangle.  What is the length of the sides of the triangle?

    • The length of each side is 20.

    • The length of each side is 40.

    • The length of each side is 60.

    Correct Answer
    A. The length of each side is 20.
    Explanation
    An equilateral triangle is a triangle in which all three sides are equal in length. Therefore, if triangle ABC is an equilateral triangle, the length of each side must be the same. In this case, the given answer states that the length of each side is 20.

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  • 10. 
    1.  Which of the following is the best description of the triangle below?  Be sure to find the missing angle before classifying the triangle. - ProProfs

    1.  Which of the following is the best description of the triangle below?  Be sure to find the missing angle before classifying the triangle.

    • Right Obtuse

    • Isosceles Obtuse

    • Scalene Obtuse

    Correct Answer
    A. Isosceles Obtuse
    Explanation
    The triangle described in the question is classified as "Isosceles Obtuse". This means that the triangle has two sides that are equal in length (isosceles) and one angle that measures more than 90 degrees (obtuse). The missing angle of the triangle must be greater than 90 degrees for it to be classified as obtuse. Since the triangle is isosceles, the two equal sides will have equal angles opposite to them. Therefore, the remaining angle must be greater than 90 degrees to make the triangle obtuse.

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  • 11. 
    - ProProfs

    • 90

    • 100

    • 126

    Correct Answer
    A. 126
    Explanation
    The given sequence of numbers does not follow a specific pattern. However, if we observe carefully, we can see that each number is increasing by 10 from the previous number. Therefore, the next number in the sequence would be 126, obtained by adding 10 to the previous number 116.

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  • 12. 
    What is the m<1? - ProProfs

    What is the m<1?

    • 38

    • 77

    • 103

    Correct Answer
    A. 103

Quiz Review Timeline (Updated): Mar 21, 2023 +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

  • Current Version
  • Mar 21, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Nov 06, 2012
    Quiz Created by
    Blinda Windham
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