Question

In circle F, Angle CFD=DFE, mBFA=8x, mAFE=5x+11 and BE and AC are diameters

Answer 1

find m arc DC

Answer 2

hint : mBFA + mAFE = 180

Answer 3

I still dont get it...im just not good at this section

Answer 4

you're given mBFA and mAFE, right ?

plug them in the above equation and gind x first

Answer 5

mBFA + mAFE = 180

8x + 5x+11 = 180

13x + 11 = 180

13x = 169

x = ?

Answer 6

Would be 13?

Answer 7

right, now use that to find m arc DC

Answer 8

we first find mBFA

mBFA = 8x
= 8*13
= 104

Answer 9

yeah

Answer 10

but, mEFC and mBFA are equal cuz both are vertical angles

Answer 11

okay

Answer 12

so mEFC = 104

also, since CFD and DFE are equal,

m arc CD = mEFC/2
= 104/2
= ?

Answer 13

52?

Answer 14

it has to be !

Answer 15

Thank you!

Answer 16

yw !