## mckenzieandjesus one year ago What is the value of x? 56 68 54 82

1. mckenzieandjesus

2. freckles

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

3. freckles

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

4. mckenzieandjesus

so ab= 136?

5. freckles

what does ab mean here?

6. mckenzieandjesus

so m<ABD=1/2?

7. freckles

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

8. freckles

what is half of the difference of 136 and 28

9. mckenzieandjesus

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

10. freckles

"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 "

11. mckenzieandjesus

68 and 14?

12. freckles

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

13. mckenzieandjesus

54?

14. freckles

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

15. mckenzieandjesus

oh ok thank you!

16. jim_thompson5910

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

17. jim_thompson5910

what do you mean?

18. mckenzieandjesus

nevermind lol figured it out

19. jim_thompson5910

alright