1. 10.4

2.  Inscribed Angle: an angle that has a vertex on the circle. The sides of the angles are chords.  Intercepted Arc: the arc that is contained in the inscribed arc.

4. The measure of the arc is half the size of the inscribed angle.

5. If we want to find the measure of arc QT, what do we do with the measure of the inscribed angle óTRQ? Multiply both sides by 2 Simplify 100º

6. 92º =46º

8. The arc is twice the inscribed angle 172º A circle is 360º 360 – 84 – 172 = 104º 86º 84º 104º

9. A semi-circle is 180º 180 – 125 = 55 10º The inscribed angle is half the arc. 115º O 55º27.5º

12. With this theorem we basically know that there are 2 proportional triangles. Recall that proportional triangles have congruent angles.

14. Don’t forget that opposite angles in an inscribed quadrilateral are supplementary ! Supplementary is 180

15. 95+ q = 180 q = 85 P + 110= 180 p= 70