In the following figure, find the value of ∠BOC, if points A, O and

1.	In the following figure, find the value of ∠BOC, if points A, O and B are collinear.
Answer» ONG>ANSWER: ∠AOD,∠DOC,∠BOC are SUPPLEMENTARY angles ⟹∠AOD+∠DOC+∠BOC=180∘ ⟹(x−10)∘+(4x−25)∘+(x+5)∘=180∘ ⟹(6x−30)∘=180∘ ⟹6x−30=180 ⟹6x=210 ⟹x=6210 ⟹x=35 ∠BOC=(x+5)∘=(35+5)∘=40∘

In the following figure, find the value of ∠BOC, if points A, O and B are collinear.

Answer» ONG>ANSWER:

∠AOD,∠DOC,∠BOC are SUPPLEMENTARY angles

⟹∠AOD+∠DOC+∠BOC=180∘

⟹(x−10)∘+(4x−25)∘+(x+5)∘=180∘

⟹(6x−30)∘=180∘

⟹6x−30=180

⟹6x=210

⟹x=6210

⟹x=35

∠BOC=(x+5)∘=(35+5)∘=40∘

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In the following figure, find the value of ∠BOC, if points A, O and B are collinear.

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