GEOMETRY, 2008

Given: .

Prove:

Proof:

Given that . Since forms a linear pair, sum of the measures of angles is 180. .

Simillarly forms a linear pair so sum of the measures of angles is 180, . By transitive property, .

Since , . By substitution and subtracton property we get .

By the definition of congruent angles .

, by ASA postulate.

It is proved.

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