The document discusses lines intersecting circles. It states that lines can intersect circles inside, outside, or on the circle. It provides theorems for calculating angles based on whether the intersection is inside or outside the circle. When inside, the angle is half the sum of the intercepted arcs. When outside, the angle is half the difference of the intercepted arcs. It includes examples applying these theorems to calculate unknown angles.

1. 9-6 Other Angles

7. Practice T Q R P m  PRQ = 130 ° m RTQ = ???????? 130 °

8. Practice T Q R P m  PRQ = 130 ° m RTQ = 2(130 °) = 260° 130 °

9. Practice E H G D Solve for x (arc GF) 200 ° 72 ° x ° F

10. Practice E H G D Solve for x 200 ° 72 ° x ° m  GHF = ½(mEDG - mGF) 72 ° = ½(200 ° - x ° ) 144° = 200° - x° x = 56 F

11. SPICSA Page 360 2-20 even