A shopkeeper has corn flour and wheat flour. The ratio of the weight of the corn flour to the weight of the wheat flour is 3 : 5. The weight of the corn flour is 21 pounds. What is the weight of the wheat flour?

the solution is 12x-6y

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

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