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in Lines and Angles by (44.3k points)

Two lines AB and CD intersect at O. If ∠AOC = 50°, find ∠AOD, ∠BOD and ∠BOC.

1 Answer

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Best answer

From the figure we know that ∠AOC and ∠AOD form a linear pair.

It can also be written as

∠AOC + ∠AOD = 180o

By substituting the values

50o + ∠AOD = 180o

∠AOD = 180o – 50o

By subtraction

∠AOD = 130o

According to the figure we know that ∠AOD and ∠BOC are vertically opposite angles

So we get

∠AOD = ∠BOC = 130o

According to the figure we know that ∠AOC and ∠BOD are vertically opposite angles

So we get

∠AOC = ∠BOD = 50o

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