triangle probl

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Source: — Data Sufficiency |

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by 2010gmat » Mon Oct 26, 2009 9:30 pm
stmt 1. --> <cod + <cob + <boa = 180 (supplementary <s)

--> <cob + <boa= 120

<cob = 180 - 2*<obc (<s of a triangle)

--> <obc = 2*<bao (exterior < is twice of opp internal angles

also <bao = <boa (ab = oc = ob , ob = oc = radius)

<cob = 180 - 4<bao -- subsitute in eqn above and u will get <bao

stmt 2 <bco = 40 = <cbo (ob = oc = radius --> isoscles traiangle)

<obc = <obc = 2*<bao (exterior < is twice of opp internal angles

u will get <bao

ans D

my approach to use stmt 1 is bit lenghty...any shorter method??