Eachangle wasfoundusing theprinciplesofcircles.How do relate the angle at the circumference and angle at the centre made by the same arc?Theangleof thecircumferenceis half of theangleat thecentreof the circle by an arc.AB = 78°∠5 = 39°Anglesinterceptedby thesamearc areequal.∠4 = 39°FE= 105°∠16 =105°ED = 27°∠17 =27°CD = 42°∠10 =21°∠3 =21°Theangleof thesemi-circleis 90°.∠2 =90°∠8=∠9 = (180-48)/2∠8= 66°∠9= 66°∠7=90°-∠8 = 90°-66°∠7=24°∠17 = 180°-∠15-∠16∠17 = 180°-48°-105°∠17 =27°∠6=∠15/2 = 48/2∠6=24°∠21 = 180°-∠7-∠16∠21 = 180°-24°-105°∠21 =51°∠19 =51°∠18 = 180°-∠17-∠6∠18 = 180°-27°-24°∠18 = 129°∠20 = 129°BC = 60°∠1 = 60/2∠1 =30°∠11=180°-∠1-∠2∠11=180°-30°-90°∠11=60°∠13=60°∠12=180-∠11∠12=180°-60°∠12=120°∠14=120°∠15=48°Hence,Eachangle wasfoundusing theprinciplesofcircles.To get more aboutcirclesvisit:brainly.com/question/25938845...

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