Case I: Central Angle Angle = Arc Angle Arc

Case II: Vertex is ON the circle ANGLE ARC ANGLE ARC

Ex. 1 Find m  1. A B C 124° 1 m<1 = 62 o

Ex. 2 Find m  1. 84° 1 m<1 = 42 o

Ex. 3 Find m  ° 1 m<1 = 126 o

Case III : Vertex is inside the circle A B C D ANGLE ARC

Ex. 4 Find m  1. A B C D 1 93° 113° m<1 = 103 o

Ex. 5 Find mQT. N Q T M 92 o 84 o mQT = 100 o

Case IV: Vertex is outside the circle A B C D ANGLE LARGE ARC small ARC ANGLE LARGE ARC small ARC LARGE ARC ANGLE

A B D 1 Ex. 6 Find m  1. 65° 15° m<1 = 25 o

A B Ex. 7 Find mAB. 27° 70° mAB = 16 o

1 Ex. 8 Find m  ° m<1 = 80 o