Question

A statement and portions of the flowchart proof of the statement are shown.

Which reason should appear in the box labeled 1?

Angle Addition Postulate
Ruler Postulate
Angle Congruence Postulate
Linear Pair Postulate

Answer 1

The answer is (A) Angle Addition Postulate

Answer 2

Answer: Angle Addition Postulate

Explanation:

Angle Addition Postulate says that if we put two angles one after another together forms a new angle that has measure equals the sum of the measures of the two actual angles.

In the given proof ,the statement in box 1 is

m∠UVX=m∠UVW+m∠WVX

Here, ∠UVX= is a new angle formed by adding ∠UVW and ∠WVX.

They are sharing the same vertex V.

So the correct reason for this statement is "Angle Addition Postulate".