Jake and Luke are playing a game. Jake and Luke each started with 4 points. At the end of each turn, Jake's points doubled. At the end of each turn, Luke's points increased by 20. At which turn will Jake first have more points than Luke?

< 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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figure c

step-by-step explanation:

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