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in Lines and Angles by (44.3k points)

In the given figure, the two lines AB and CD intersect at a point O such that ∠BOC = 125°. Find the values of x, y and z.

1 Answer

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Best answer

From the figure we know that ∠AOC and ∠BOC form a linear pair of angles

So it can be written as

∠AOC + ∠BOC = 180o

By substituting the values we get

x + 125o = 180o

On further calculation

x = 180o – 125o

By subtraction

x = 55o

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

So we get

y = 125o

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

So we get

z = 55o

Therefore, the values of x, y and z are 55o, 125o and 55o

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