Question

ss below

Answer 1

@florisalreadytaken

Answer 2

@snowflake0531

Answer 3

stop tagging snow

Answer 4

what

Answer 5

once again, lets have a look at what we're given
\[ m\overset{\huge\frown}{a}= 40^o \]
\[ m\overset{\huge\frown}{b}= 110^o \]
\[ m\overset{\huge\frown}{x}= ?^o \]
you know what formula we will be using right?
\[ m\overset{\huge\frown}{b}=m\overset{\huge\frown}{x}-m\overset{\huge\frown}{a} \]
that said, lets plug the info we have in:

\[ 110^o=x^o-40^o \]
\[ x= 110+40 \]
\[ x= ?? \]

Answer 6

im so sorry i didnt answer ive been busy babysitting

Answer 7

?

Answer 8

I will have to disagree with the above reply

Answer 9

Let's think of it one circle at a time, okay?



What is the angle of an inscribed angle?

It's going to be half of the arc

So what is half of 110?

Answer 10

55

Answer 11

So that's the angle of the inscribed angle

Answer 12

Now let's add in the other circle, okay?

Does that make sense so far?

Answer 13

so add 40

Answer 14

no

we have to use that one formula that we kept posting that you didn't understand haha

Answer 15

oh great

Answer 16

let me explain it to you. When you have an angle like this, then this is how you calculate it

Does it make sense?

The angle is going to be the big arc minus the small one and then divided by 2

Answer 17

so 110-40 then divide by 2?

Answer 18

no no no

remember 110 is part of the BIGGER circle

now we're looking at the smaller circle

we found the angle to be 55, remember?

and we want to find x

Answer 19

This is what we're looking at specifically in the drawing

Answer 20

if you want to see the bigger circle, it's still there but we don't need it to solve for x anymore now that we got the angle of 55

Answer 21

so minus the angle to 44 and then divide it?

Answer 22

the bigger arc is x
the smaller one is 40

(i accidentally made a typo, your question has 40 but I accidentally wrote 44)

and then the angle is 55

so

55 = 1/2 * (x - 40)

can you solve for x?

Answer 23

how do i solve that divide 40 and then minus it by 55?

Answer 24

so do you see how you have 1/2 (x-40)

you need to move the 1/2 to the other side
and you can do that by multiplying 2 on both sides

because 1/2 * 2 = 1 so then all you'll be left with is x-40

so what is 55 * 2 = ?

Answer 25

110

Answer 26

so now we have

110 = x - 40

now add 40 on both sides

Answer 27

150

Answer 28

There you go! :)

Answer 29

oh thank you

Answer 30

you're welcome :)

Answer 31

ok dont hate me

Answer 32

i have 2 more and then i think im done

Answer 33

of course not

feel free to post them and tag me

Answer 34

ok

Answer 35

Same exact thing — just that u did it all the way from finding a and bllabblabbla :\ — i’d rather use the 1st formula :)

Answer 36

the first one was easier lol
as long as they end up being the same answer ill use the easier formula

Answer 37

oh, interesting

Answer 38

people learn it different ways not all school teach the same way

Answer 39

My bad, I didn't realize it worked out to the same answer as well

Essentially it mixed the two formulas into one

Answer 40

My bad, I didn't realize it came out to the same answer

Impressive solution too. It combines both the formulas to save time