Given and the bisector of , so .

1. is similar to . , by parallel lines cut by transversal theorem, and for the same reason; therefore, is similar to by AAA similarity.
2. So,
3. I need to show that
4. by parallel lines cut by a transversal theorem . Since we know that and then . Since we know and then . Therefore, is isosceles and ; therefore,
5. EXTENSION

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