S Worksheet by Kuta Software LLC Kuta Software - Infinite Geometry Name_____ Arcs and Central Angles Date_____ Period____ Name the arc made by the given angle. 1) ∠FQE F E D Q 2) ∠1 H I J 1 Name the central angle of the given arc. 3) ML M L K 1 4) ML M L K Q If an angle is given, name the arc it makes. If an arc is given, name its central.

Kuta Software - Infinite Geometry Name___________________________________ Inscribed Angles Date________________ Period____ State if each angle is an inscribed angle. If it is, name the angle and the intercepted arc. 1) 2) C L B M K A 3) 4) X K L V M W Find the measure of the arc or angle indicated. 5) 6) C 80° X 42° B? 49° 35° F 70° D P? ©x k260S1b2I 1KGu7tpaD kSPovfft2w3a3r0eS 2LwLICJ.s V zA9l0lu PrXiMgwhUtRsI dryeos7eErcvNepd0.I Y oMxaidreS qw5ietdhA eIAntfvi7nIiHt5eZ 2Gaeooim1evtrrzyo.6 C B -1- Worksheet by Kuta Software LLC 9) 10) G 75° R S F 95°? 119° V 65° Q H Solve for x.

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11) 12) K F 50° 110° G P 31 x + 3 R 30 x 192° E Q Find the measure of the arc or angle indicated. 13) Find m∠NLM 14) Find mFGH L G 13 x − 10 21 x − 2 H M F 38 x + 5 A 7 x − 10 N Solve for x and y. 15) 16) L L 10 x X 4 + 18 y 10 x − 6 7x + 1 M 6 x − 10 V 16 y + 6 2 y + 100 2 y + 74 N ©S X2h0F1F2Q hKMu8tbad oSJokflthwMalrseY BLFL9C1.m D 9A6lMlV HraiVgJhdtAsp Pr0epsJeOrnvFeWdC.c A oMXaldleX SwLi8tchS tIWnqf7ignciWtMei tGvezocmLektirsyh.7 M N -2- Worksheet by Kuta Software LLC Kuta Software - Infinite Geometry Name___________________________________ Inscribed Angles Date________________ Period____ State if each angle is an inscribed angle.

If it is, name the angle and the intercepted arc. 1) 2) C L B M K A Yes; m∠BAC, BC 3) No 4) X K L V M W Yes; m∠WXV, WV No Find the measure of the arc or angle indicated.

5) 6) C 80° X 42° B? 40° 84° 7) 8) E D? 49° 35° F 70° D P? B 122° 110° ©4 o2s0S1X25 9KiuotRaH 3SKoUf1tnwdaWrGeL hL3LDC1.a h IA4lklq 3rTiSgthHtPsc CriewsDePrEvyeudU.W W 2M3aQdHeR dwAictoh4 SIAn7flipnIiptte1 jGBevoKmMeFtWrmyR.c C -1- Worksheet by Kuta Software LLC 60° 9) G 10) 75° R S F 95°? 119° V 65° Q H 95° Solve for x.

11) 12) K F 50° 110° G P 31 x + 3 R 30 x 192° E Q 3 3 Find the measure of the arc or angle indicated. 30° 13) Find m∠NLM 14) Find mFGH L G 13 x − 10 21 x − 2 H M 38 x + 5 F A 7 x − 10 N 238° Solve for x and y. 15) 16) L L 10 x X 10 x − 6 4 + 18 y 7x + 1 M 6 x − 10 V 16 y + 6 M 2 y + 100 2 y + 74 N N x = 11, y = 4 x = 15, y = 0 Create your own worksheets like this one with Infinite Geometry.

Free trial available at KutaSoftware.com ©9 V280x1f2h 7K6uGtOa7 ISLoKf3thwrajrJeg JLTLWCV.U 6 0ASlmlX Dryingehjtos5 Urme3srepr3vMetd9.E r 2MiaTdHe1 cwmist9hu VIJn7fUizn5i4tGe0 vGzevoNmceEtzr9yY.J -2- Worksheet by Kuta Software LLC.