Astatement 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 :- 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.

The angles are 33° and 57°.

Complementary angles means the angles that their sum equals to 90° when we add them together.

Let the smaller angle be x

Let the bigger angle be x + 24

Therefore, x + x+24 = 90

2x + 24 = 90

2x = 90 - 24.

2x = 66

Divide both side by 2

2x/2 = 66/2

x = 33

The smaller angle is 33°

The bigger angle will be:

= 33° + 24°

= 57°

In conclusion, the angles are 33° and 57°.

Read related link on:

link