Question

please help me with this one question http://prntscr.com/lsxh9r

Answer 1

@Shadow

Answer 2

1. \(\triangle{ABC}\) is an isoceles triangle with \(\overline{AB} \cong \overline{BC}\)
2. The measure of \(m\angle B\) is three times \(m\angle A\).
3. What is \(m \angle C\)?

Answer 3

Statement 1 implies \(m\angle{A} = m\angle{C}\)
We know that \(m \angle{A} + m\angle{B} + m\angle{C} = 180\).

Answer 4

Since \(m \angle{A} = m\angle{C}\):
\(m\angle{A} + m\angle{B} + m \angle{A} = 180\) by substitution property.

Answer 5

Are you with me so far @itzsummer ?

Answer 6

yes

Answer 7

Now statement 2 means that \(m\angle{B} = 3m\angle{A}\). So we replace this in the known equation to get:
\(m\angle{A} + 3m\angle{A} + m\angle{A} = 180\)

Answer 8

For simplicity let's just let \(m\angle{A} = x\). Then we have:
\(x + 3x + x = 180\)

Answer 9

Care to solve for \(x\)?

Answer 10

5x=180

Answer 11

x=36

Answer 12

Great so far ... Now what do we know about the relationship between angles A and C?

Answer 13

im confused how did u get the 2 other x''s

Answer 14

If you look up you'll notice that we let \(m\angle{A} = x\)

Answer 15

ohh

Answer 16

so c would be 108

Answer 17

I asked earlier what is the relationship between angles A and C? Scroll up to find out.

Answer 18

I suggest re-writing everything I wrote on notebook paper and circling every instance of where I address angles A and C.

Answer 19

lol that was a hard question

Answer 20

they all equal 180 ?

Answer 21

@itzsummer, re-read everything I wrote 5 times.

Answer 22

ok

Answer 23

Start with Statement 1. Then find where I wrote "Statement 1 implies..."

Answer 24

I'd rather you break out the notebook paper on this one and start writing it all out by hand.

Answer 25

well angle A and C are equal since its a isosceles

Answer 26

Exactly, so if the measure of angle A = 36 degrees then the measure of angle C = ?

Answer 27

36

Answer 28

Yes, the measure of angle C is also 36 degrees.

Answer 29

By the way, It's winter not summer.

Answer 30

so A=36 B=108 C=36

Answer 31

Because 3 times 36 = 108

Answer 32

Very good. It all checks out.

Answer 33

lol i will change my name lol

Answer 34

when i was born it was summer and my family didnt have a name to call me so they just called me summer sad right lol

Answer 35

it might be because im the youngest in my family

Answer 36

If only your last name was Winter. Then your name would be Summer Winter.

Answer 37

And imagine they had to give you a middle name. Might as well be Spring as well.

Answer 38

Actually it would be better if it was Fall. Hence Summer Fall Winter.

Answer 39

lol

Answer 40

Then you'd be so popular

Answer 41

i wish

Answer 42

Moved to Geometry

Answer 43

my last name is gonzález for some reason lol

Answer 44

to tell u the truth like i hate my last name

Answer 45

I know some that are far worse than that. You have it easy. Trust me.

Answer 46

I'm not gonna even ... It's tempting but I won't

Answer 47

one of my friends last name is McDonalds for some reason

Answer 48

That's nothing at all. Some people's lives are ruined because of their last names.

Answer 49

lol

Answer 50

Anyways, good luck with the rest of your work. I'm going offline. Have a good one.

Answer 51

u tooo

Answer 52

thanks so much

Answer 53

most of the people go straight to giving me the answer but u have taught me something thanks

Answer 54

You're welcome. Have a good night.

Answer 55

u too