Question

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

Which reason should appear in the box labeled 1?

Ruler Postulate

Angle Addition Postulate

Linear Pair Postulate

Angle Congruence Postulate

Answer 1

m<BAD = m<BAC + m<CAD
m<BAD = 20 + 15
m<BAD = 35

Angle Addition Postulate

answer
Angle Addition Postulate

Answer 2

Answer :- Angle addition postulate is the reason which should appear in the box labeled 1.

Explanation:-

Angle addition postulate states that for a given angle ∠AOC if P is interior of ∠AOC then ∠AOC=∠AOP+∠POC.

In the given figure it can be seen that

C is interior of ∠BAD then by angle addition postulate

∠BAC+∠CAD=∠BAD which in box 1.

Thus the second option is correct . "Angle Addition Postulate" is the reason which should appear in the box labeled 1.