Ex 6.3, 2 - In figure, triangle ODC similar OBA, BOC = 125 - Ex 6.3

Ex 6.3, 2 - Chapter 6 Class 10 Triangles - Part 2


Transcript

Ex 6.3, 2 In figure, ΔODC ∼ ΔOBA, ∠BOC = 125° and ∠CDO = 70°. Find ∠DOC, ∠DCO and ∠OAB. Given: Δ ODC ∼ Δ OBA ∠ BOC = 125° ∠ CDO = 70° To find: ∠DOC, ∠DCO and ∠OAB Solution: Here, BD is a line, So, we can apply linear pair on it. ∠BOC + ∠DOC = 180° 125° + ∠DOC = 180° ∠DOC = 180° – 125° ∠DOC = 180° – 125° ∠DOC = 55° Now in Δ DCO ∠CDO + ∠DCO + ∠DOC = 180° 70° + ∠DCO + 55° = 180° 125° + ∠DCO = 180° ∠DCO = 180° - 125° ∠DCO = 55° Now it is given that ΔODC ∼ ΔOBA Hence ∠DCO = ∠OAB 55° = ∠ OAB ∠OAB = 55°

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.