Question

ss below

Answer 1

Alright, this one will take a little more work to solve but do you remember what I've been saying about inscribed angles?

Answer 2

yes

Answer 3

sorry im bothering you on a weekend

Answer 4

The entire circle adds up to 360

We're going to only look at two angles at a time, okay?

Answer 5

ok

Answer 6

?

Answer 7

okay so can you find the arcs?

Remember that it's going to just be twice the angle

and then they should add up to 360 so you should be able to calculate the missing angle

Answer 8

sorry this gross dude keeps messaging me
umm can you help me find the arcs

Answer 9

make sure to report him

so what is arc QRS if the angle is 80?

just multiply by 2

Answer 10

160

Answer 11

i just told him the truth about me and he dipped
typical

Answer 12

okay and the other one is angle x

and two times x would be 2x

and remember how I said the entire circle adds up to 360?

so

2x + 160 = 360

so what is x equal to?

Answer 13

i got 200 so do i divide it?

Answer 14

by 2, yes

so that way you get 'x' all by itself

Answer 15

i got 100

Answer 16

So that's the value of x

Now you do a similar thing to find the angle 'y'

but there's a faster way: all the angles inside a quadrilateral equal to 360 and now that we know what 'x' is, we can just solve for 'y'

x + y + 95 + 80 = 360

x was equal to 100 so

100 + y + 95 + 80 = 360

can you solve for y?

Answer 17

yes give me a sec

Answer 18

85

Answer 19

That's your answer!

Answer 20

thank you so much AZ

Answer 21

you're welcome!