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true or false: the sum of the angles of a triangle will always be 180° …

False

Category: geometry Updated: 2026-02-09

Question

true or false:
the sum of the angles of a triangle will always be 180°
true
false

Solution Steps

  1. Understand the question

    true or false:
    the sum of the angles of a triangle will always be 180°
    true
    false

  2. Brief Explanations

    The 180° angle sum rule only applies to triangles on flat (Euclidean) surfaces. On curved non-Euclidean surfaces, like the surface of a sphere, the sum of a triangle's angles can be greater than 180°, and on a hyperbolic surface, it can be less than 180°. Thus, the sum is not always 180°.

  3. Final answer

    False

Answer

Brief Explanations

The 180° angle sum rule only applies to triangles on flat (Euclidean) surfaces. On curved non-Euclidean surfaces, like the surface of a sphere, the sum of a triangle's angles can be greater than 180°, and on a hyperbolic surface, it can be less than 180°. Thus, the sum is not always 180°.

Answer

False

Question Image

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Question Analysis

Subject mathematics
Sub Subject geometry
Education Level middle school
Difficulty unspecified
Question Type multiple choice
Multi Question No
Question Count 1
Analysis Status completed
Analyzed At 2026-02-09T20:04:14

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true or false:
the sum of the angles of a triangle will always be 180°
true
false

Related Topics

mathematicsgeometrymultiple choicemiddle schoolturns-1

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