AHHH! QUIZ!! AHHHHHHH… **takes several deep breaths**
Anyways, today’s lesson was on 10-6: Angles on, in and outside circles. (Real title: Secants, tangents, and angle measures. Which is on the boring side.)
We already learned that the measure of the *inscribed* (thanks Hanlin!) angle is half of the arc it intercepts. Today, we learned that this is true with both a tangent and a chord or two chords.
Also, an angle formed by two chords is the average of the two intercepted arcs. (The one with the sorta vertical angles.)
In secants and/or one secant and one tangent, the outside angles are half the difference of the 2 arcs it intercepts.
As in: x=1/2(arc 1- arc2).