Question

Kite DCFE is inscribed in circle A shown below.

Answer 1

If the measure of DEF is 232°, what is the measure of ∡DEF?

Answer 2

@Virgil

Answer 3

@jhonny

Answer 4

@hartnn

Answer 5

angle DEF is inscribed by the arc DCF , so first can u find measure of arc DCF ?

Answer 6

how would i do that

Answer 7

arc DCF and arc DEF forms entire circle, so
arc DCF + arc DEF = 360
from this.

Answer 8

arc DEF = 232 already given

Answer 9

would it be 128

Answer 10

correct!
now since, angle DEF is inscribed by the arc DCF
we have
angle DEF = (1/2) arc DCF = ... ?

Answer 11

?

Answer 12

lost

Answer 13

we already have arc DCF = 128
just plug that in
angle DEF = (1/2) arc DCF = (1/2) *128 = ... ?

Answer 14

ok so
0.5+0.5*128

Answer 15

do i solve that

Answer 16

or 232*0.5+0.5*128

Answer 17

why 0.5 + .. ?
its just
0.5*128 = 64 = angle DEF

Answer 18

i am sorry i am slow
so u tell just to do
128*0.5

Answer 19

yup

Answer 20

64 is the answer and that it

Answer 21

yes, correct :)

Answer 22

thanks
so much

Answer 23

welcome ^_^

Answer 24

what does diameter mean

Answer 25

diameter is twice the radius of the circle,