Question

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

Answer 1

Angle Addition Postulate

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