5. Measuring and Constructing Angles
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We want to use a compass and straightedge to copy the given angle. To copy the angle, we start by drawing an arc across the original angle creating points B and C. Then, using the same settings on our compass, we will draw the same arc across a horizontal arrow like below, creating E.
Next, we change the settings on our compass to measure the distance between B and C. Keeping this measurement, we mark this distance on the arc of our copy starting at E and calling the intersection F.
Finally, we have two points, D and F that lie on the second arm of the copied angle. Therefore, we can draw a ray through DF to complete copying the given angle.