00:01
All right, if angles are outside of the circle, then you find the arc measures that are intercepted by the angle.
00:11
So notice where the angle hits the circle here.
00:14
There's 240 degrees on one side, and on the other, there's going to have to be the difference between 360 and 243, which is 117.
00:24
The angle is equal to one half since it's outside is the difference of those two measures 243 and 117.
00:38
So the difference between two, well, i'll just do it all once here.
00:43
One half of the difference of 243 and 117 is 63 degrees.
00:53
So 63 for number 7.
00:56
Switching gears to number 8, the angle is inside.
00:59
The angle when it's inside is equal to still one half but of the sum of the arcs the arc that it opens up to and its intercepted arc 120 and 98 so adding because the because the angle is inside of the circle one half times 120 plus 98 is 109 degrees for angle 1 .109.
01:30
Again in number 9 the angle is is inside, but it's not the angle that opens up to those arc measures.
01:37
So what i would recommend doing is, well, maybe call this two if you want, or something else.
01:46
But find that angle measure because you want it in line with the two angles.
01:52
Angle two would be equal to one half of the sum of the arcs because it's inside.
02:00
It's a one -half of 53 plus 41 is 47.
02:11
Now, if angle 2 is 47, then angle 1, since it's out of line with it, is 180 minus 47 or 133 degrees.
02:24
Number 10, angle 1 is outside, so it's going to be one -half of a difference...