Math Geom Angles 10.5 Worksheet

Geometry CP 10.5 Worksheet - Angles in a Circle Worksheet Name_____________________________________________ Find the measures of the arcs or angles as indicted. Circle the types of angles you see in each diagram. Use these to determine which rules to use. The center is emphasized in each circle with a bold point. Some of these are combination problems so you might have to circle more than one! 1. mA Where is the vertex located? Center Circle Inside Outside T-T Center mA = ___________ 4. 5. Where is the vertex located? Circle Inside Outside T-T Outside T-T m1 Center 6. Circle Inside Circle m1= ___________ Inside Outside T-T T-T Circle Outside T-T Outside T-T Outside T-T m1 Center 9. Center Inside Circle Inside m1= ___________ Where is the vertex located? Outside Circle Where is the vertex located? 8. Where is the vertex located? Center mB = ___________ = _____ m1= ___________ m1 Center Inside mB Where is the vertex located? Where is the vertex located? m1= ___________ 7. Circle = _____ AND m1 Center 3. 2. Where is the vertex located? Inside = ___________ x Where is the vertex located? Outside T-T Center Circle x = ___________ Inside 10. mD and mC 11. Where is the vertex located? Center Circle mD = _______ 13. Inside AND Where is the vertex located? Outside T-T mC = _______ m1 Where is the vertex located? Center Circle Inside m ARC 1 and Outside T-T m2 Where is the vertex located? Center Circle m ARC 1= ______ Inside AND Center Circle Inside Outside T-T T-T m2 = ______ Center Circle mA = ___________ m1= _______ 14. 15. x Center Circle Inside m2 Inside AND Outside T-T Center Circle 17. 18. x x = ___________ Inside m2 = _______ Inside mC = ____________ Circle T-T mC x = ___________ Center Outside Where is the vertex located? Where is the vertex located? Outside m1 and Where is the vertex located? Where is the vertex located? m1= ___________ 16. 12. mA m ARC 1 and Outside T-T m2 Where is the vertex located? Outside T-T Center Circle m ARC 1 = ______ Inside AND Outside T-T m2 = ______ 19. m1 20. Where is the vertex located? Center Circle Inside m1 21. Where is the vertex located? Outside T-T Center Circle Inside m1 Where is the vertex located? Outside T-T Center Circle Inside m1= ___________ m1= ___________ m1= ____________ 22. 23. 24. x Where is the vertex located? Center Circle Inside x Where is the vertex located? Outside T-T Center Circle Inside Outside Outside T-T x T-T Center Circle Inside x = ____________ 26. x and y T-T Where is the vertex located? x = ___________ x = ___________ Find the value of each variable using a combination of rules. 25. Outside x, y, w, and z VERTEX ON Circle AND QUADRILATERAL INSCRIBED IN A CIRCLE VERTEX ON Circle AND QUADRILATERAL INSCRIBED IN A CIRCLE The OPPOSITE ANGLES are ________________________. The OPPOSITE ANGLES are ________________________. x = ___________ AND y = ___________ x = _______ y = _______ w = _______ z = _______ NOW YOU ARE READY FOR COMBO PROBLEMS! Use Circle O to find the following angles. 27. m1= ___________ 28. m2 =___________ 29. m3 = ___________ 30. m4 = ___________ 31. m5 = ___________ 32. m6 = ___________ Where is the vertex located? Center Circle Inside Outside T-T Where is the vertex located? Center Circle Inside Outside T-T Where is the vertex located? Center Circle Inside Outside T-T Where is the vertex located? Center Circle Inside Outside T-T Where is the vertex located? Center Circle Inside Outside T-T Where is the vertex located? Center Circle Inside Outside T-T Use Circle O to find the following angles AND arcs. Which rule did you use? 33. mA = ___________ Which rule did you use? 34. mACO =___________ Which rule did you use? 35. mCOE = ___________ Which rule did you use? 36. m Arc AC = ___________ Which rule did you use? 37. m Arc CE = ___________ Which rule did you use? 38. m Arc AEC = ___________