cyclic quadrilateral question

[hard yacht]

but how do i solve x with the ratio given ?

[dawn girder]

Ratio means x/y = 3/7

You are gonna have to write y based on x from this equation, so you can use it for the actual part (circle)

[hard yacht]

the circle isnt relevant to this equation is it ?

[dawn girder]

No it is not related to the equation, the question has given that so you can make a “system” using it and find the values of x and y

[solid marsh]

The circle indicates that x+y = 180°

Which is crucial

[hard yacht]

yes i do know that information

and i know this

$\frac{x}y = \frac37$

[proper sand]

ned

[solid marsh]

yeah….then you have acquired the key

[solid marsh]

What’s your confusion?

[hard yacht]

just dont know how to put it in the equation to get the answere

[hard yacht]

okay ?

[dawn girder]

Please pay attention to this similar example

Using the equation x/y I will conclude that

And I isolate y to see that y values 2x/3

BECAUSE y values 2x/3, we can replace y in the equation below to have only one variable

You basically solve the equation

And you find the value of x, you can also find the value of y since y values 2/3 of x

[hard yacht]

okay okay so 7/3 x = y

[dawn girder]

Exactly

[hard yacht]

so what do i do with the y now ?

[solid marsh]

Man, you are so zealous 💀

[dawn girder]

Do this

[solid marsh]

They should pay you tuition for that

[dawn girder]

lol

[dawn girder]

follow the steps mentioned in the example above

[hard yacht]

how did you get 5x here ?

[dawn girder]

x + 2x/3 = 3x/3 + 2x/3 = (3x +2x)/3

[hard yacht]

and why did you add another 2x ?

@dawn girder still clueless mate because i still dont know how tf did you get 5x/3

all i know is that from my equation , i have 7/3 x

[dawn girder]

Consider the equation x+y=10

and we said that y=2x/3 right?

[hard yacht]

yh

and then you added anothe x

[dawn girder]

Since y = 2x/3

I can replace y in the equation x + y = 10

so

I change y to 2x/3

I get

x + 2x/3 = 10

does that make any sense?

[hard yacht]

yes but then how did you get 5x

[dawn girder]

good question

how do you answer 1/3 + 1/2 ?

when you want to just write a/b

[hard yacht]

you found the common denominator

[dawn girder]

yep

[hard yacht]

but i didnt think you needed to do that

[dawn girder]

x is basically x/1 right?

[hard yacht]

yep

[dawn girder]

but we need something that is like /3 sooo it can match with 2x/3

[hard yacht]

so then my equation is 10x/3 = 180

[dawn girder]

Yep that’s correct!

[hard yacht]

x is 6 then ?

[dawn girder]

Yez

[hard yacht]

my answer is still wrong

[dawn girder]

Oops

10x/3 = 180

you divide by 10 and multiply by 3

x = 180 * 3/10 = 54

my bad I didn’t check that

[hard yacht]

okay

whilst you here could you just check this one

[hard yacht]

but thanks anyway

[dawn girder]

You have found the arc BD correctly

but you should think about BFD once more

[hard yacht]

the angle bfd is given to me

[dawn girder]

It’s not 😊

[hard yacht]

It is legit given to me

[hard yacht]

anyway thanks for your help i will just ask my teacher. thank you for your time

.close

[cunning sentinel]

Solved

Post marked as solved by @hard yacht.

Use .unsolved if this was a mistake.