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05-10-2019
Mathematics

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A statement and portions of the flowchart proof are shown. Which reason should appear in box labeled 1?
-Ruler Postulate
-Angle Addition Postulate
-Linear Pair Postulate
-Angle Congruence Postulate

A statement and portions of the flowchart proof are shown Which reason should appear in box labeled 1 Ruler Postulate Angle Addition Postulate Linear Pair Postu class=

Respuesta :

11-10-2019

Answer:

Angle Addition Postulate

Step-by-step explanation:

Given:

[tex]m\angle UVW=30^{\circ}\\ \\m\angle WVX=75^{\circ}[/tex]

Prove:

[tex]m\angle UVX=105^{\circ}[/tex]

Proof:

1. [tex]m\angle UVX=m\angle UVW+m\angle WVX[/tex] - Angle Addition Postulate

2. [tex]m\angle UVW=30^{\circ}[/tex] - given

3. [tex]m\angle WVX=75^{\circ}[/tex] - given

4. [tex]m\angle UVX=30^{\circ}+75^{\circ}[/tex] - Substitution Property of Equality

5. [tex]m\angle UVX=105^{\circ}[/tex] - Simplify

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