Question

http://prntscr.com/b0tddm

Answer 1

@jim_thompson5910

Answer 2

try dividing by 2

Answer 3

Well, why?

Answer 4

@latinC

Answer 5

usually the outside angle is half of the inside angel of a circle

Answer 6

What theorem is this?
@latinC

Answer 7

Hm, what's it called?

Answer 8

so I found out how to solve this question and I was little bit off

Answer 9

the lines extending outside the circle are tangent to the angel inside the circle so they each make a 90 degree angle at each of the points they meet., in other words you have a kite with two 90 degree angles, one 115 degree angle and you have to solve for X degrees :)

Answer 10

Formula Attached.

Did you get 65 for x?

Answer 11

A radius drawn to a tangent to a circle is perpendicular to the tangent at the point of tangency. That gives two right angles and then the given 115 central angle.

Sum those measures and subtract from 360 which is the sum of the angles of a quadrilateral.