Question

In the diagram, isosceles triangle ABC is inscribed in circle O and measure of BAC=40. Find the measure of arc AC

Answer 1

u just need to evaluate the angle \(O\) , am i right?

Answer 2

because the measure of arc AC is equal to measure of the angle \(O\)

Answer 3

Right and the answers that go along with it are A)70 B) 80 C)140 D) 280

Answer 4

ok, do u know how to attempt to do that?

Answer 5

Well I know an isosceles triangle has two equal sides

Answer 6

and 2 equal angles :)

Answer 7

Correct

Answer 8

So would the outcome still be 70?

Answer 9

right, i'm not too sure how to do that

Answer 10

oh im sorry, i did extra things,

Answer 11

no it's totally fine don't worry :)

Answer 12

see triangle AOC, thats an isosceles triangle, right?

Answer 13

And you can't use an angle bisector?

Answer 14

Yes I see that

Answer 15

and AO is angle bisector of A=40 right?

Answer 16

correct

Answer 17

ok, so in triangle AOC : OAC=OCA=20 so u can evaluate AOC

Answer 18

right?..

Answer 19

very right :)

Answer 20

Okay I'm seeing it now

Answer 21

m<AOC = x ha???

Answer 22

it's not 1/2 the arc length?

Answer 23

I got the answer to be 140

Answer 24

thats right :)

Answer 25

Thank you so much for both of your help :)

Answer 26

yw :)