In Figure, if EC || AB, ∠∠ECD = 70° and ∠∠BDO = 20°, then ∠∠OBD is
Question
In Figure, if EC || AB, ∠∠ECD = 70° and ∠∠BDO = 20°, then ∠∠OBD is
Solution
Without the figure, it's a bit difficult to provide an accurate answer. However, assuming that OBD is a straight line and D is a point on line OB, we can use the properties of parallel lines and transversal to solve this.
Given: EC || AB, ∠ECD = 70°, ∠BDO = 20°
To find: ∠OBD
Step 1: Since EC || AB and CD is a transversal, by corresponding angles property, ∠ECD = ∠ADB. So, ∠ADB = 70°.
Step 2: Now, ∠ADB and ∠BDO are on a straight line OB. So, by linear pair axiom, ∠ADB + ∠BDO = 180°.
Step 3: Substituting the given values, we get 70° + ∠BDO = 180°.
Step 4: Solving for ∠BDO, we get ∠BDO = 180° - 70° = 110°.
So, ∠OBD = 110°.
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