Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 5 - Relationships Within Triangles - 5-5 Indirect Proof - Practice and Problem-Solving Exercises - Page 320: 13


Statements I and II contradict each other.

Work Step by Step

In a right triangle, one of the angles must measure $90^{\circ}$. This means that both $\angle A$ and $\angle C$ cannot be $60$; they would have to be $45^{\circ}$ each if the third angle has to be $90^{\circ}$. Therefore, statements I and II contradict each other.
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