Question

Let ABC be any triangle. Draw line DE, which passes through point A, parallel to __________ with a compass and straightedge. According to the Angle Addition Postulate ∡DAC + ∡CAB + ∡BAE = ∡DAE. ∡DAC is congruent to ∡BCA by______________________. ∡BAE is congruent to ____________ by the same theorem. Substitution allows me to replace ∡DAC with ∡BCA and ∡BAE with ∡ABC in the equation. Therefore, __________________________= ∡DAE. By definition of a straight angle, ∡DAE measures ____________. Consequently, the three angles of ABC (BCA, CAB, and ABC) measure 180° by ___________.

Answer 1

2. Fill in the missing blanks below to prove that the Sum of the measures of the interior angles of a triangle is 180°.

Answer 2

i need help, what are supposed to go in the blanks? are the theorems supposed to go there? i need to know. :(

Answer 3

@mathstudent55 @zepdrix @uri @AlexandervonHumboldt2 @StudyGurl14 @sleepyjess @ikram002p @inkyvoyd

Answer 4

Let ABC be any triangle. Draw line DE, which passes through point A, parallel to __________
can you draw it ?

Answer 5

i cant :( lthough that would be really helpful. im not good with drawing these things. would you mnd walking me through this? :( @jayzdd

Answer 6

@jayzdd can you tell me if im right? imm not sure

Answer 7

@tanya123 whered you go :(

Answer 8

Let me draw this out real quick, ok.

Answer 9

ok

Answer 10

I am going to number the blanks from 1 to 6, k?

Answer 11

1. perpendicular bisector

Answer 12

ok

Answer 13

One sec.

Answer 14

kk

Answer 15

Im waiting for an answer from a friend, she is much better at this, and then you won't get it wrong on my account. Bc I really want you to get a good grade. :)

Answer 16

thanks! thats very nice of you! :)

Answer 17

np.

Answer 18

Aw, you didn't have to give me a medal! Thank you, anyways! :) I would fan you, but Im already ur fan. LOL

Answer 19

XD ofcourse i gotta!

Answer 20

XDDD

Answer 21

By definition of a straight angle, angle DAE measures 180 degrees

Answer 22

6. by Triangle Angle-Sum Theorem

Answer 23

Im trying to answer as much as I know, from the top of my head.

Answer 24

Do you know what the TAST is? ^

Answer 25

It states that the sum of a triangle's angles always = 180.

Answer 26

thats what it means? would the triangle be dividd in angles? and have to add up to 180 degrees?

Answer 27

Right.

Answer 28

You don't need to divide anything.

Answer 29

oh lol im still trying to decipher this

Answer 30

I know, all I could c was all of the angle sides, I almost didn't want to help. But I'm not that kind of person so.. :)

Answer 31

My friend is working on it right now!! You'll have your answers soon! Sorry for the wait my friend.

Answer 32

its fine~ :) thank you so much! i highly appreciate it :)

Answer 33

Ok, so I figured out something. You drew it wrong, so scratch the perpendicular bisector.

The way you should have drawn it is so:

Answer 34

OHHHHHHHHHHHHHHHHH i see what ya did there :o

Answer 35

LIKE THIS?

Answer 36

Yes, w/o the extra line on the bottom.

Answer 37

Do you know how to figure the rest out? I can send you a list of theorems and postulates to fill in the blanks with.

Answer 38

can you pleae? i can try, would you stay and see if im right? lol

Answer 39

sure, but I will be working on my science at the same time so... :)

Answer 40

undertandable :)

Answer 41

I hope that helps!

Answer 42

thanks! ill try and fill in the blanks with these