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  • Two lines AB and CD intersect each other at a point O such that ∠AOC : ∠AOD = 1:2, then the measure of ∠BOD is <img alt="" src="https://cdn.entrance360.com/media/upl

Two lines AB and CD intersect each other at a point O such that ∠AOC : ∠AOD = 1:2, then the measure of ∠BOD is

 

 

 

Option: 1

30°


Option: 2

120°


Option: 3

60°


Option: 4

90°


Answers (1)

best_answer

 

Given,

∠AOC : ∠AOD = 1:2,

Let ∠AOC = x and  ∠AOD = 2x,

∠AOC + ∠AOD = 180°

x + 2x = 180°

3x = 180°

x = 60°

∠AOC =  60°

∠AOD =  120°

∠BOD is vertically opposite to ∠AOC

So, ∠BOD = ∠AOC =  60°

 

 

Posted by

Shailly goel

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