Question

In the given figure, find the value of angle BOC, if points. A,O and B are collinear. CLAS VII​

Answer 1

Answer:

From the figure  

∠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=  210/6

​ ⟹x=35

∠BOC=(x+5)∘  =(35+5)∘ = 40∘