Question

Help! pic below I GIVE MEDALS
Given Circle E with diameter AC and M angleDAC=62deg m angle ABC=28deg. and m angleDBC=60deg. Find:m angleBAC, m arc AD

Answer 1

@Eyad think u could help me out??

Answer 2

@heather040200 : I wish ,but i'am about to leave :(

Answer 3

that's ok tomorrow then?? just tag me I should be on all day

Answer 4

are u sure ABC = 28 deg? lol

Answer 5

no

Answer 6

m angle ABC=28deg. is incorrect.

In the original posted problem, please post the problem exactly as it appears in your text or problem source.

Answer 7

Using only the diagram, it is possible to find the these: m angleBAC, m arc AD.

At least four theorems are in play:

1) An angle inscribed in a semicircle is a right angle.
2) The measure of an inscribed angle of a circle is one-half its intercepted arc.
3) The acute angles of a right triangle are complementary.
4) If a quadrilateral is inscribed within a circle, opposite angles are supplementary.

Answer 8

@shubhamsrg can ya help me out here :)

Answer 9

you should follow @directrix

Answer 10

@HawkCrimson could u help me plzzz last question promis :)

Answer 11

u sure that it says ABC=28deg?

Answer 12

no

Answer 13

lol then which info r u sure about?

Answer 14

like which of the info u said it straight from the actual question?

Answer 15

I found angle ABD and DBC but idk if them are right ...

Answer 16

i think angle BAC = 45 degrees

Answer 17

@heather040200

Answer 18

sorry about that ok

Answer 19

ill show u y i think but because this is only the second time ive ever used this rule and 45 deg is too gud of an answer im not sure if im right

Answer 20

@heather040200 lol u left again

Answer 21

ok so to my reasoning the angle at BC is 90 deg cause angle BEC is also 90 deg. u agree? @heather040200

Answer 22

I got it to work finally lol @HawkCrimson

Answer 23

lol well u agree wat wat i just said?

Answer 24

ya

Answer 25

and since that angle is 2x then x would be half of it meaning that angle BAC = 45 deg. u cool with that?

Answer 26

yes

Answer 27

u even understand y the arc BC is twice the size of BAC?

Answer 28

no

Answer 29

u remember this rule?

Answer 30

yes

Answer 31

i used that rule, do u see it now used in ur question?

Answer 32

yes

Answer 33

ok then u understand now?

Answer 34

yes

Answer 35

ok and now the final part m arc AD

Answer 36

http://assets.openstudy.com/updates/attachments/516389a8e4b057e06e87ee10-directrix-1365484137490-circlee.jpg

Answer 37

alright

Answer 38

we'll be using that

Answer 39

ok

Answer 40

angle ADC = 90 deg cause it extends from the segment AC

Answer 41

as i say stuff ill be waiting for u to say ok cause this is a bit complicated so keep saying ok or if u dont understand.

Answer 42

alright i understand

Answer 43

and AC is the diameter

Answer 44

ok

Answer 45

want to try and see if u can figure out wat to do next?

Answer 46

http://assets.openstudy.com/updates/attachments/516389a8e4b057e06e87ee10-directrix-1365484137490-circlee.jpg
dont forget to look back at this diagram

Answer 47

therefore angle DCA = 28 deg

Answer 48

and using the rule that i used to solve for angle BAC

and the ansswer for the m arc AD is 56 :)