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CBSE Class 9 Answered

In fig., BO and CO are bisectors of DBC and ECB respectively. If BAC = 50o and ABC = 60o then find the measure of BOC.
Asked by Topperlearning User | 05 Dec, 2013, 01:58: AM
answered-by-expert Expert Answer

By angle sum property in triangle ABC

50o + 60o + ACB = 180o

This gives, ACB = 180o - 110o = 70o

Now by exterior angle theorem,

DBC = A + ACB = 50o + 70o = 120o.

Therefore, OBC = DBC = 60o.

Again,

ECB = A + ABC = 50o + 60o = 110o.

Therefore, OCB = DBC = 55o.

By angle sum property in triangle OBC, we get

OBC + OCB + BOC = 180o

This gives, 60o + 55o + BOC = 180o

Or, BOC = 65o

Answered by | 05 Dec, 2013, 03:58: AM
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