Question

Given: Angles 2 and 5 are supplementary

Match the statements to their correct reasons:

Statements:
1) <2 and <5 are supplementary
2) <3 + <5 =180°
3) <2 + <5 =180°
4) <3 and <5 are supplementary
5) <2 <3
6) line l || line m

Reasons:
A)Definition of Supplementary Angles
B)Converse of Same-Side Interior Angles Theorem
C)Definition of Supplementary Angles
D)Substitution
E)Given
F)Vertical Angle Theorem

Answer 1

@Preetha @AravindG

Answer 2

@mukushla

Answer 3

@jim_thompson5910

Answer 4

what did you get

Answer 5

i was wondering what the symbol for number 5 is, first off

Answer 6

that's the congruence symbol

Answer 7

dose that mean angle 2 and 3 are congruent?

Answer 8

yes

Answer 9

why are angles 2 and 3 congruent?

Answer 10

Converse of Same-Side Interior Angles Theorem ?

Answer 11

angles 2 and 3 are what kind of angles

Answer 12

how are they related

Answer 13

they have the same angle measure

Answer 14

yes, but why do they have the same angle measure

how are they connected?

Answer 15

is it one of the reasons?

Answer 16

yes, which one though

Answer 17

are they supplementary, because i dint think they are

Answer 18

what kind of angles are these

Answer 19

adjacent

Answer 20

they don't share a common side

Answer 21

so they aren't adjacent

Answer 22

opposties

Answer 23

they are opposite, so they are _____ angles

Answer 24

converse?

Answer 25

check out this page

http://www.basic-mathematics.com/types-of-angles.html

Answer 26

oh, vertical angles

Answer 27

yes

Answer 28

so angle 2 = angle 3 because they are vertical angles

Answer 29

ok, so 5 matches F

Answer 30

1 and 4 are A and C

Answer 31

yes 5 matches to F

but 1 doesn't match to A

4 is C though

Answer 32

1 is given, right?

Answer 33

yep

Answer 34

first line of any proof is usually "given" since you start with what you got

Answer 35

and work from there

Answer 36

ok, thank you!

Answer 37

this proof is all messed up though (not your fault, its whoever wrote it)

you can't use line 2 because you don't know if line L and line M are parallel since it's not given (and you prove it in line 6)

Answer 38

oh, i see. so going through the steps helps you to solve it?

Answer 39

yeah but the steps are out of order because you need L || M first before you can say < 3 + < 5 = 180

Answer 40

well it does say to prove that lines l and m are parallel, if that changes anyhting

Answer 41

well you would need to switch lines 2 and 3, then make line 5 come before both of those lines just to do that, so like i said, everything is out of order

Answer 42

oh ok, so it is a messed up proof