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Properties of Angles in a Circle – Extra Practice1.Determine the measure of ABC and AEC. Explain how you determined your answers.272161048895004476756096000a)?b)?2721610217805002.Determine the length of chord BC in each of the following.4451352286000a)?b)?438912011430003.Point C is the centre of a circular flower bed with a radius of 8 m. The flower bed is divided as shown in the diagram. If ABD = 45°, determine the length of AD to the nearest tenth of a metre.4.Find the unknown angle measure in each of the following diagrams.296291074930004927606858000a)?b) 313880524130m =n =x =00m =n =x =67437026670m =n =x =y =00m =n =x =y =?Answers1. a) ABC = AEC = ADC = 59°. Example: An inscribed angle is half the measure of a central angle subtended by the same arc.b) ABC = 61°, AEC = 122°. Example: Inscribed angles subtended by the same arc of a circle are equal. A central angle is twice the measure of an inscribed angle subtended by the same arc.2. a) BC = 5 units b) BC = 5 units3. 11.3 m4. a) m = 40°, n = 100°, x = 40°, y = 40°b) m = 22.5°, n = 27.5°, x = 80° ................
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