Question

if angle 1 = 50 degrees and angle DAB = 35 degrees, find arc AC and m of angle ABC

Answer 1

I do know whatever arc AC is will be the same for angle ABC

Answer 2

If I add 35 + 50 = 85/2 = 42.5???

Answer 3

Yes this one.

Answer 4

Do we know if BC passes through the origin?

Answer 5

I mean the center

Answer 6

it doesnt show a center. because E is definitely not in the center

Answer 7

But yes BC passes through E and so does AD

Answer 8

Ok first let's find \(\angle ABC\)

Answer 9

when I use the formula when two cords of a circle intersect, the measure of each angle formed is one-half the sum of the measures of its intercepted arc and the arc intercepted by its vertical angle.

Answer 10

I get that 42.4 number a degree can not be that

Answer 11

Note that we can find angle AEB. Then you can find angle ABC.

Answer 12

180-50 = 130

Answer 13

Good! so now what is the angle of ABC?

Answer 14

180- 130 = 50 no?

Answer 15

its too small to be 50

Answer 16

Sorry... AEB = 180 - angle 1 = 180 -50 = 130.

Answer 17

ok so Angle AEB is 130 and we know angle A is 35 add those and subtract 180 gets me 15 degrees?

Answer 18

Great! :)

Answer 19

So if angle ABC is 15 degrees then the arc AC is 15

Answer 20

Are we looking for the length of the arc AC or the angle measure of the arc AC ?

Answer 21

the measure of arc AC and the measure of angle ABC

Answer 22

Ok, the 15 is the inscribed angle of AC, so the central angle is twice of that, which is 30.

Answer 23

ok... this is because the angle of ABC is inside a triangle right...

Answer 24

yes

Answer 25

thank you

Answer 26

If I am not around and you have a question you can ask me here: http://www.ask.watchmath.com :D

Answer 27

oh thank you!