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Q.

In the given figure AB || CD and O is a point joined with B and D, as shown in the figure such that ∠ABO = 35° and ∠CDO = 40°, then what is the value of reflex angle ∠BOD?


Question Image

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a

285°

b

275°

c

265°

d

255° 

answer is A.

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Detailed Solution

Given that:
AB || CD and O is a point joined with B and D.
∠ABO = 35°   and ∠CDO = 4 0 °  .
Draw a line PQ, which is parallel to AB and CD.
Question ImageLet AB|| PQ  and transversal BO cuts between them.
Thus, Question Image are alternate angles i.e., ∠BOQ= 35 0  .
Let, PQ || CD   and a transversal DO cuts between them.
∠CDO=∠DOQ   are alternate angles.
Hence,
Question ImageTherefore,
Question ImageTherefore, the value of reflex angle ∠BOD is 285 0   .
Hence, option (1) is correct.
 
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