Question

Need Help with figuring out angles, need step by step

Answer 1

what do you mean? what do you have in mind?

Answer 2

hah lol

Answer 3

I have no idea how to start with that, I tired figuring out how to solve by finding the arcs.. but i dont know the circumference so i cant find it

Answer 4

we're looking for 1,2,3,4,5 right?

Answer 5

oh yes, correct sorry.
mangle1 and mangle2

mangle3

m arc CF

mangle4

mangle5

m arc AE

Answer 6

thats what i need to find

Answer 7

but idk how to because i dont know the circumference, and i dont know how to find it

Answer 8

arc AC = 45 right?

Answer 9

correct

Answer 10

and these are equal right?

Answer 11

are they??

Answer 12

im asking lol..i dont recall this much...arent they?

Answer 13

crap i thought you knew.. idk:/

Answer 14

lol i remember they are.

Answer 15

okay.. think they are

Answer 16

and hes gone-.- can someone help me?

Answer 17

First, draw EP, FP , and CP.
angle EPB = 90
angle BPF = 90
angle APC = 45
Got it?

Answer 18

That's just the start..

Answer 19

yeah got that part now
makes sense

Answer 20

Okay.
EP = BP = FP = CP = AP (radii)
Agree?

Answer 21

yea i agree

Answer 22

Good.
Now, consider triangle EPB
angle PEB = angle PBE (base angle, isos triangle)
Got this part?

Answer 23

yes

Answer 24

In triangle EPB,
angle EBP = (180 - angle EPB) / 2 = (180-90) / 2 = ...?

Answer 25

2= 90....?

Answer 26

Nope.
angle EBP = (180 - angle EPB) / 2 (angle sum of triangle)
Got this part?

Answer 27

oh okay

Answer 28

So,
angle EBP = (180 - angle EPB) / 2 (angle sum of triangle)
= (180-90) / 2
= ...?

Answer 29

45!

Answer 30

what now?

Answer 31

Since 5 is angle EBP, what is 5?

Answer 32

5=45

Answer 33

Yes.
Angle PEB = angle EBP, what is angle PEB?

Answer 34

45

Answer 35

Angle FBD = angle PED (angles at alt. segment)
Got it?

Answer 36

*Angle FBD = angle PEB

Answer 37

wait how are they equal? thats a bit confusing

Answer 38

b = a (angles at alt segment)
It'a a property of tangent to the circle.