Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10:
ISBN 13:

Chapter 2 - Review Exercises - Page 118: 33

Answer

$\angle$$1$ is congruent to $\angle$$3$

Work Step by Step

We can prove this because we know that $\overline{AB}$ $\parallel$ $\overline{CF}$.Since those two lines are parallel this means that they produce congruent angles when they meet another segment or line. This means that $\angle$$2$ is congruent with $\angle$$1$. We also know that $\angle$$3$ is congruent with $\angle$$2$, therefore, we can now conclude that $\angle$$1$ is congruent with $\angle$$3$.
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