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In the Given Figure, If Ec || Ab, ∠Ecd = 70° and ∠Bdo = 20°, Then ∠Obd is - Mathematics

MCQ

In the given figure, if EC || AB, ∠ECD = 70° and ∠BDO = 20°, then ∠OBD is

Options

  • 20°

  • 50°

  • 60°

  • 70°

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Solution

In the given figure, EC || AB,∠ECD = 70° and  ∠BDO= 20°We need to find ∠OBD.

Here, EC || AB and CD is the transversal, so using the property, “corresponding angles are equal”, we get

∠AOD = ∠ECD

∠AOD = 70°

Also, using the property, “an exterior angle of a triangle is equal to the sum of the two opposite interior angles”, in ΔOBD, we get, 

∠AOD = ∠OBD + ∠BDO

        70° = ∠OBD + 20° 

∠OBD = 70° - 20°

∠OBD = 50°

Thus,∠OBD = 50° .

  Is there an error in this question or solution?
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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 11 Triangle and its Angles
Q 13 | Page 26
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