Basic College Mathematics (9th Edition)

Published by Pearson
ISBN 10: 0321825535
ISBN 13: 978-0-32182-553-7

Chapter 8 - Geometry - 8.1 Basic Geometric Terms - 8.1 Exercises - Page 539: 18

Answer

$\angle$BQF or $\angle$FQB or $\angle$1

Work Step by Step

Lines AF and BC share the Point Q. This creates the rays QA, QF, QB, and QC. A point shared by two or more rays is known as a vertex. When naming a vertex the shared point should always be in the middle of the angle name. The angle could also be given a label. In this case we should not call it $\angle$Q since point Q is shared by four separate angles. We will call the angle formed by B, Q, and F $\angle$1.
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