Question

How to solve for X?

Answer 1

https://mathbitsnotebook.com/Geometry/Circles/CRAngles.html

4. Angle formed by intersecting chord

Answer 2

Okay so are they all likes this?

Answer 3

all like what?

Answer 4

if you get something that looks like that, then yes that's the formula for solving it

Answer 5

Okay cool

Answer 6

Yes

But remember, the other question had a different formula

Answer 7

This one is the half of the SUM of the arcs

the other one was
1/2 ( big arc - small arc)

this one is
1/2 (one arc + other arc)

Answer 8

okay

Answer 9

a=7x+3
b=78
c=152
right?

Answer 10

Yes and set it up now

7x + 3 = 1/2 * (78 + 152)

and just solve for x

Answer 11

Okay um it gave me a negative interger fraction?
I dont think that is right?

Answer 12

That wouldn't be right

what is 78 + 152

and then divide it by 2

Answer 13

115* thanks

Answer 14

7x+3 = 1/2 * (78+152)

so now you get

7x+3 = 115

Now to find x, just subtract 3 on both sides
and then divide by 7

Answer 15

Like this?
7x+3-3=115-3

Answer 16

yup

Answer 17

just simplify it now

Answer 18

simplify 16?

Answer 19

well that's the final answer haha

Answer 20

oh smh i-

Answer 21

thank you lol

Answer 22

when I said simplify it, I meant the

7x+3-3=115-3

because +3 - 3 = 0
and 115 - 3 = 112

so then you get

7x = 112

and then to solve for x, you divide by 7 on both sides

Answer 23

but you got it haha

you're welcome!

Answer 24

wait oh right thank you

Answer 25

It was my pleasure :)