Question

Need help with statements and reasons in making proofs.

MEDAL!!!

Answer 1

Given: \[m\angle4 + m\angle6 = 180\]
Prove: \[m\angle 5 = m\angle 6\]

Answer 2

1) m<4 + m< 6 = 180 (Given)
2) m<4 + m<5 = 180

Answer 3

I am stuck with what reason I should give for #2

Answer 4

4 and 5 are complementary

Answer 5

Yes!

Answer 6

And then
3) m<4 + m<5 = m<4 + m<6

Answer 7

Is there a certain property for this?

Answer 8

@math&ing001 @agent0smith

Answer 9

not enough info to prove angle 5 equals angle 6.

Answer 10

oh wait... never mind. I read wrong

Answer 11

m<4 + m<5 = m<4 + m<6 by transitive property

Answer 12

You beat me to it @shawn :)

Answer 13

@math&ing001 hehe :p

Answer 14

How?

Answer 15

the transitive property states that if a = b, b = c, then a = c.

Answer 16

But how does it show it in this case?

Answer 17

m<4 + m<5 = 180, and 180 = m<4 + m<6, then
m<4 + m<5 = m<4 + m<6

just let m<4 + m<5 = a, 180 = b, and m<4 + m<6 = c for an analogy

Answer 18

oh okay.

and M<4 = m<4 \(\rightarrow\) reflexive property

and then
m<5 = m< 6 (substitution prop.?)

Answer 19

no, it's the cancellation law

Answer 20

we didn't learn the cancellation law

Answer 21

you're basically subtract m<4 from both sides in the equation m<4 + m<5 = m<4 + m<6

Answer 22

it's the basic ones we learned

Answer 23

it's either the reflexive, transitive, symmetric or substitution property i think

Answer 24

none of those properties above can be used to go from m<4 + m<5 = m<4 + m<6 to m<5 = m<6.

Answer 25

you can start with m<4 and show it equals m<5 but you need to use additive inverse property, and it's not on your list

Answer 26

what about the addition, subtraction , division, multiplication properties?

Answer 27

Use subtraction -m<4

Answer 28

OK.

Answer 29

Thanks for the help :)

Answer 30

Welcome =)

Answer 31

subtraction is the same as cancellation law :/

Answer 32

I guessed I should have said subtraction