1. Circle O with tangent DE and Find all of the numbered angles.
20°
70°
40°
60°
115°
90°
95°
135°
85°
85°
80°
65°
35°
95°
75°
Find the measures
of the arcs:
7x + 8x + 12x + 9x = 360
36x = 360
x = 10
120°
© 2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia

2. Circle O with tangent MN. Find all of the numbered angles.
31°
60°
64.5°
122°
54.5°
84.5°
54.5°
95.5°
69°
95.5°
Find the measures
of the arcs:
60 + x + x x - 16 = 360
4x + 84 = 360
4x = 274
x = 69
30°
84.5°
61°
30°
34.5°
109°
© 2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia

3. Circle O with tangent SN. Find all of the numbered angles.
100°
70°
20°
40°
70°
20°
120°
90°
50°
40°
60°
70°
60°
90°
120°
80°
40°
50°
20°
50°
40°
Find the measures
of the arcs:
x + 2x x x - 20 = 360
10x - 40 = 360
10x = 400
x = 40
140°
© 2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia