InterviewSolution
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InterviewSolution
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In Fig. ABCD is a rectangle in which diagonal AC is produced to E. If ∠ECD =146°, find ∠AOB. |
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Answer» Given, ABCD is a rectangle ∠ECD = 146° = ∠ECD +∠DCO = 180° (Linear pair of angles) =146°+∠DCO = 180° = ∠DCO = 180° - 146° = 34° And, ∠BOC = 180°- ∠OCB -∠OBC ∵ ∠OCB = ∠OBC =∠BOC = 180°- 34°- 34° = 112° ∠BOC +∠AOB = 180° (Linear pair) = 112°+ ∠AOB = 180° = ∠AOB = 180°- 112° = 68° |
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