Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 1 - Section 1.4 - Angles and Their Relationships - Exercises - Page 39: 38


See the picture below:

Work Step by Step

First, we have to copy the angle twice, with $\overline{AB}$ as one side and A and B as the vertices. With your compass mark an arc to intersect both sides of $\angle 1$ (at $P$ and $Q$). With the same radius, mark another arc with the center of point $A$ to intersect $\overline{AB}$ (at point $E$) and the future $\overline{AC}$ side. Mark an arc to measure the distance from P to Q. With the same radius mark an arc from point $E$, and intersect the other arc. The point of intersection will be point $O$ Connect $O$ and $A$ to get the other side of the angle. Now, we have to repeat this procedure but with B as the vertex ( as shown in the picture). The intersection of the two other sides of the angles will be the vertex $C$ of the triangle.
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