Question

What is the value of x?

56
68
54
82

Answer 1

http://www.regentsprep.org/regents/math/geometry/gp15/circleangles.htm
looks like we are using lemma 5 there

Answer 2

Scroll to the bottom
that is (you should see the exact formula you should be using)

Answer 3

so ab= 136?

Answer 4

what does ab mean here?

Answer 5

so m<ABD=1/2?

Answer 6

I don't know. Have you posted the right pic? I see no A,B,C,D,a,b, thing's in your picture...
You find the difference of the intercepted arcs and
take half of that
and that is your angle that is formed outside of that thingy there

Answer 7

what is half of the difference of 136 and 28

Answer 8

they didnt label it. u said the formula at the bottom i should be using..

Answer 9

"Angle Formed Outside of a Circle by the Intersection of:
"Two Tangents" or "Two Secants" or "a Tangent and a Secant".

The formulas for all THREE of these situations are the same:
Angle Formed Outside = 1/2 Difference of Intercepted Arcs "

Answer 10

68 and 14?

Answer 11

ok you can talk the half before subtracting
but you still need to subtract

Answer 12

54?

Answer 13

\[\frac{1}{2}(136-28) =68-14 \\ \text{ or I would have done } \frac{1}{2}(108)\]
but either way the answer comes to be 54
yep

Answer 14

oh ok thank you!

Answer 15

agreed with freckles. The answer is 54

Sometimes it helps to color code things (for me anyway) to keep the arcs correct. But it's not mandatory or anything

Answer 16

what do you mean?

Answer 17

nevermind lol figured it out

Answer 18

alright