Question

the given figure , lines AB and CD intersect at point O. Find the value of x and y ​

Answer 1

Step-by-step explanation:

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

so it can be written as

∠AOC+∠BOC=180

o

by substituting the values we get

x+125

o

=180

o

x=55

o

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

so we get

y=125

o

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

so we get

z=55

o

therefore the values of x,y,z are 55

o

,125

o

,55

o

respectively.

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