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In the figure l ∥m, ∠AOD =90and ∠ODB =30. Are △OCA and △ODB similar? If yes, by which criterion |
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Answer» Given : l ∥m ∠AOD =90 ° and ∠ODB =30° To Find : Are △OCA and △ODB Similar Solution: We EVEN Does not NEED ∠AOD value As ∠AOC = ∠BOD ( vertically opposite ANGLE ) As ∠AOD = 90 ° Hence ∠AOC = ∠BOD = 90° ∠OCA = ∠ODB = 30° ( interior alternate ANGLES ) ( even this value of angle is not required as both angles are equal ) ∠OAC = ∠OBD ( interior alternate angles ) in △OCA and △ODB ∠AOC = ∠BOD ∠OCA = ∠ODB ∠OAC = ∠OBD Triangles are Similar using AA or AAA criteria Learn More: If a transversal intersects two parallel lines then, which of the ... 7. If a transversal intersects two lines parallel lines then prove that ... |
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