# Triangular proof, math homework help

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### Question Description

Consider the theorems below:

The following is a theorem of Euclidean geometry:
Euclidean angle sum theorem: The sum of the measures of the angles of a triangle is 180°.

Theorem 1: An exterior angle of a triangle is greater than either of the nonadjacent interior angles of the triangle.

A. Using the Euclidean angle sum theorem, prove Theorem 1. Your proof must refer to the definitions provided below.

Definitions:

•  adjacent: Two angles are adjacent if they share a common vertex and common side, and they do not overlap. Otherwise, the two angles are nonadjacent.

•  supplementary:Two angles are supplementary if their measures sum to 180°.

•  exterior:An angle that is both adjacent and supplementary to an angle of a triangle is an exterior angle of the triangle.

1. Explain why this theorem is also true in hyperbolic geometry.

2. Explain why this theorem is not true in spherical geometry.

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Anonymous
Tutor went the extra mile to help me with this essay. Citations were a bit shaky but I appreciated how well he handled APA styles and how ok he was to change them even though I didnt specify. Got a B+ which is believable and acceptable.

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