Question

A statement and portions of the flowchart proof are shown. Which reason should appear in box labeled 1?

Answer 1

Answer:

Angle Addition Postulate

Step-by-step explanation:

Given:

$m\angle UVW=30^{\circ}\\ \\m\angle WVX=75^{\circ}$

Prove:

$m\angle UVX=105^{\circ}$

Proof:

1. $m\angle UVX=m\angle UVW+m\angle WVX$ - Angle Addition Postulate

2. $m\angle UVW=30^{\circ}$ - given

3. $m\angle WVX=75^{\circ}$ - given

4. $m\angle UVX=30^{\circ}+75^{\circ}$ - Substitution Property of Equality

5.  $m\angle UVX=105^{\circ}$ - Simplify