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Level 8 5 /8 skills Course: Geometry (FL B.E.S.T.)

Unit 5 Quiz 1 Math>Geometry (FL B.E.S.T.)>Relationships in triangles and quadrilaterals>Quiz 1 © 2024 Khan Academy Terms of usePrivacy PolicyCookie Notice

Quiz 1 Google Classroom Microsoft Teams Share to Microsoft Teams Problem Complete the proof that an exterior triangle angle measure equals the sum of the measures of the two interior angles not adjacent to it. Triangle A B C. Angle A is labeled one. Angle B is labeled two. Angle C is labeled three. Side AB is extended to a point D. The exterior angle created by segment A D is labeled four. [1] [2] [3] [A] [B] [C] [D] [4] Statement Reason 1 [m\angle 1+ m\angle 2+ \text{m}\angle 3=180\degree] The

sum to [180\degree]. 2 [m\angle 2 + m\angle 4= 180\degree] The angle measures of a linear pair sum to [180\degree]. 3 [m\angle 1+ m\angle 2+ m\angle 3=m\angle 2+ m\angle 4] Substitution 4 [m\angle 1+ m\angle 3=m\angle]

Subtract [m\angle 2]. Did we prove the conclusion true for every triangle or only for this specific triangle? Choose 1 answer: Choose 1 answer: (Choice A) Every triangle A Every triangle (Choice B) Only for this specific triangle B Only for this specific triangle

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Math Problem Analysis

Mathematical Concepts

Geometry
Triangles
Exterior Angles

Formulas

Sum of interior angles of a triangle = 180°
Linear pair of angles = 180°

Theorems

Exterior Angle Theorem

Suitable Grade Level

Grades 8-10