Question

Lines AB and CD intersect at O. If angle AOC :angle BOC =5:7, then angle BOD =? pliz explain in steps ill mark u as brainliest​

Answer 1

Step-by-step explanation:

Consider ∠AOC as 5x and ∠AOD as 7x

From the figure we know that ∠AOC and ∠AOD for linear pair of angles

So it can be written as

∠AOC + ∠AOD = 180 degree

By substituting the values

5x + 7x = 180 degree

On further calculation

12x = 180o

By division

x = 180/12 x = 15 degree

By substituting the value of x

∠AOC = 5x

So we get

∠AOC = 5 (15o) = 75 degree

∠AOD = 7x

So we get

∠AOD = 7 (15o) = 105 degree

From the figure we know that ∠AOC and ∠BOD are vertical angles

So we get

∠AOC = ∠BOD = 75 degree

From the figure we know that ∠AOD and ∠BOC are vertical angles

So we get

∠AOD = ∠BOC = 105 degree

I hope it is helpful for you

Answer 2

Answer:

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