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Two Straight Line Ab and Cd Intersect One Another at the Point O. If ∠Aoc + ∠Cob + ∠Bod = 274°, Then ∠Aod = - Mathematics

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MCQ

Two straight line AB and CD intersect one another at the point O. If ∠AOC + ∠COB + ∠BOD = 274°, then ∠AOD =

Options

  •  86°

  •  90°

  •  94°

  • 137°

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Solution

Let us draw the following diagram showing two lines AB and CD intersecting at a point O.

Thus, 

\[\angle \text { AOD}, \angle \text { AOC }, \angle \text { COB } \text { and } \angle \text { BOD }\] form a complete angle, that is the sum of these four angle is 360°.

That is,

\[\angle \text { AOD }, \angle \text { AOC }, \angle \text { COB } \text { and } \angle \text { BOD }\]   = 360°   .......(1)

It is given that   

∠AOC + ∠COB  +BOD = 274°                        ...(ii)

Subtracting (ii) from (i), we get:

∠AOD =360° - 274°

∠AOD = 86°

Concept: Concept of Parallel Lines
  Is there an error in this question or solution?

APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 10 Lines and Angles
Q 2 | Page 51

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