Question

I need help with this problem, I got the majority of the answers and I need them checked for correctness. Make sure answers are correct and accurate. I only know a little bit of this. I need a better understanding of it. The picture attachment will be in the comments below. Medal will be rewarded for help! :D

Answer 1

Here it is

Answer 2

looks good

Answer 3

Are the answers correct? @Euler271 I am missing two boxes from the 1st Column

Answer 4

oh. i missed the first blank box.

every single time two lines cross, <8 = <9 and <7 = <10

there are no complementary angles (2 angles which add up to exactly 90)

Answer 5

@Euler271 angle 8 and 9 & angle 7 and 10

Answer 6

yes. are equal

Answer 7

Why are there no complementary angles

Answer 8

do you know what complementary angles are..?

Answer 9

here is a great site that will help with your understanding of angles http://www.mathopenref.com/anglecomplementary.html

Answer 10

I know they are angles that add up to 90 degrees

Answer 11

ok... so the diagram doesn't have sufficient information to comment on complementary angles.. as no measurements are given

Answer 12

so what do I put in the box

Answer 13

I'd put nil.... and maybe say insufficient information

Answer 14

should I put no attempt

Answer 15

good point. drawings are not always to scale. maybe it's a 3-D drawing of a cross at an angle [90 degrees]

Answer 16

Should I take another picture and zoom it in

Answer 17

i'd leave as is. sincce you called its other angles obtuse and acute, we're assuming they are not 90 therefore there are no complementary angles.

i'd leave it blank or write N/A [not applicable]

Answer 18

Here's a zoomed in picture of the arrows:

Answer 19

Obtuse angles: add <CBF to right column

Answer 20

Explain my answers if they are wrong or right

Answer 21

So far all your answers are correct, but there are more of some angles you can add.

On right column:
Supplementary angles: add <ABC & <CBE
add <ABF & <ABD
add <CBF & <CBD
add <FBE & <DBE

Answer 22

okay what about the last box on 1st column

Answer 23

Leave blank, or write not enough information.

Answer 24

Are you positive?

Answer 25

Angles 8 and 9 are vertical angles, so they are congruent.
If you were told that either one of them measures 45 degrees, then they both would be 45 degree angles, and they would be complementary, but since their measures are not given, you can't conclude anything about complementary angles.

Answer 26

The only way for there to be complementary angles in the left column is if you knew for sure that angles 8 and 9 measure 45 degrees. All you can see is that they are acute angles. That means they measure between 0 and 90 degrees, but you don't know for a fact they measure 45 degrees, so you can't conclude they are complementary.

Answer 27

may I interject?

Answer 28

Certainly.

Answer 29

Angles 8 and 9 look like 45 degrees to become 90 degrees

Answer 30

just something quick... complementary angles also need to be adjacent...

Answer 31

so 8 and 9 can't be complementary

Answer 32

true that's right

Answer 33

The figure on the right side shows an angle to be a right angle. There is no doubt angle is a right angle. From that you can conclude that angle CBE is also a right angle. If angles 8 and 9 were 45 degrees, you would be told so.

Answer 34

if no true values are given in that illustration for complementary angle then you can't make an assumption that it looks like anything we perceived it to be.

Answer 35

@campbell_st
There is nothing in the definitions of complementary or supplementary angles dealing with being adjacent angles. Being adjacent is not a requirement in either case.

Answer 36

he might be referring to perpendicular ⟂ adjacent refers to having the same corner point and sides*

Answer 37

The definition of complementary angles is simply TWO angles whose measures add up to 90. The word "two" is important, because if you have three 30-degree angles, they are not complementary since the definition is specifically about two angles and no other number. All of the above is true for supplementary angles, except, of course, supplementary angles are two angles whose measures add up to 180 instead of 90.

Answer 38

aren't we looking for the complementary angles in that last picture he posted?

Answer 39

all you can say is that angles on the opposite side of the vertex are equal...

point taken on complementary not having to be adjacent... but I think most high school texts treat them as adjacent... and this seems to be high school maths

Answer 40

In no level of math is there a requirement of adjacent angles for complementary or supplementary angles.

Answer 41

Okay debate team, any help with the problem

Answer 42

just put in that last box as "NONE or UNDETERMINED" since there aren't enough information to make proper deduction.

Answer 43

@nincompoop
Yes, we are, but we can't conclude that any angles are complementary.

Answer 44

@Firejay5 I already answered you. Just read what I wrote above. The debate we are having may be helpful to you in the future, but your questions have been answered.

Answer 45

if we were given just one value of an angle, we can at least point out exactly if there's any complementary angles.

Answer 46

I put, Not enough information N/A

Answer 47

is it right?

Answer 48

YEAH

Answer 49

Hey chill out okay we all know it's hard