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Skills Practice Workbook - Glencoe

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11–2<br />

NAME DATE PERIOD<br />

<strong>Skills</strong> <strong>Practice</strong><br />

Arcs and Central Angles<br />

Find each measure in �C if m�ACB � 80, mAF � � 45, and A�E� and F�D� are diameters.<br />

1. m�ACF 45 2. mAB<br />

� 80<br />

3. m�FCE 135 4. mEF<br />

� 135<br />

5. mABE<br />

� 180 6. m�BCE 100<br />

7. mAFE<br />

� 180 8. m�DCE 45<br />

9. mDE<br />

� 45 10. m�BCD 55<br />

11. mBAE<br />

� 260 12. mABF<br />

� 315<br />

In �A, B�D� is a diameter, m�BAE � 85, and m�CAD � 120. Determine whether each<br />

statement is true or false.<br />

13. m�BAC � 60 true<br />

14. mCD<br />

� � m�CAD true<br />

15. �ABE is a central angle. false<br />

16. m�BAC � m�DAE false<br />

17. mCED<br />

� � 220 false<br />

18. mBCD<br />

� � 180 true<br />

19. mCE<br />

� � 145 true<br />

20. m�DAE � mDE<br />

� true<br />

Q is the center of two circles with radii Q�D� and Q�E�. If m�AQE � 90 and mRE � � 115,<br />

find each measure.<br />

21. mAE<br />

� 90 22. m�RQE 115<br />

23. mAR<br />

� 155<br />

25. mAER<br />

24. m�RQA 155<br />

� 205 26. mBSD<br />

� 270<br />

27. mDS<br />

� 115 28. mBD<br />

� R<br />

S<br />

Q<br />

B<br />

A<br />

90<br />

D<br />

© <strong>Glencoe</strong>/McGraw-Hill 62 Geometry: Concepts and Applications<br />

A<br />

B<br />

F<br />

E<br />

C<br />

B<br />

E<br />

C<br />

A<br />

D<br />

E<br />

D

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