Question

why is it when i ask a question i am the least one to get an answer this is so wrong can someone please help me

Answer 1

given: <3 and <4 form a linear pair m<1+m<2+m<3=180.
Prove: m<4=m<1+m<2

Answer 2

What does it mean when they say " <3 and <4 form a linear pair"

Answer 3

i wish i know but im working on proofs and im not entirely sure

Answer 4

say we start with a straight line

Answer 5

If we then attach a segment or ray to it, we get this

Answer 6

These two angles here



form a linear pair because they are

a) adjacent
b) supplementary (they add to 180 degrees)

Answer 7

sound familiar? or no?

Answer 8

yes

Answer 9

so what equation can you form when they say " <3 and <4 form a linear pair"

Answer 10

<3+<4=180

Answer 11

so let's say we start with what is given

m<1+m<2+m<3=180

Answer 12

that equation is missing angle 4

so let's add it to both sides

m<1+m<2+m<3+m<4=180+m<4

Answer 13

We know that m<3+m<4=180 since they are a linear pair, this means

m<1+m<2+m<3+m<4=180+m<4

turns into

m<1+m<2+180=180+m<4

finally you subtract 180 from both sides to get

m<1+m<2=m<4

which is the same as

m<4 = m<1 + m<2

Answer 14

btw this sounds like the remote interior angle proof