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maths

In the given figure, and a transversal cuts them. If , find the measure of each of the remaining marked angles.

Answer

It is given that
from the figure we know that and form a linear pair of angles 

so it can be written as


by substituting the values



from the figure we know that and are vertically opposite angles

we get


from the figure we know that and are vertically opposite angles

we get


it is given that and is a transversal

so the corresponding angles according to the figures is written as




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