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Question

Using the information given in the adjacent figure, find the value of x and y.
570813_59a970f125aa442f8b6ba233cf491372.png

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Solution

Side BC of ABC has been produced to D.
Exterior angle ACD=BAC+ABC
xo=30o+35o=65o
Again, side CE of DCE has produced to A.
Exterior angle DEA=EDC+ECD
y=45+xo=45o+65o=110o.
Hence, x=65o and y=110o.

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