Question

Hi everybody! I need help, and this question is worth TEN points!

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

Which reason should appear in the box labeled 1?


A: Angle Addition Postulate

B: Linear Pair Postulate

C: Ruler Postulate

D: Angle Congruence Postulate

Please don't give me a direct answer - help me work out the problem so I can finish the rest on my own and learn something too.

Answer 1

Explanation:

we know,

The Angle Addition Postulate states that: If a point lies in the interior of an angle, then the postulate describes that putting two angles side by side with their vertices together creates a new angle whose measure equals the sum of the measures of the two original angles.

Here, W is the internal point.

The two angles are UVW and WVX.

Now, by the angle addition postulate,

UVX is equal to the sum of UVW and WVX.

Hence, the reason is-

Angle Addition Postulate