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Step 1: Place the compass needle on the vertex of the given angle. Name the vertex point A.

Step 2: Set the compass to any convenient width.

Step 3: Draw an arc intersecting both rays of the angle. Mark and label the points of intersection D and E.

Step 4: Move the compass needle to D. If required, adjust the compass width at this point. Draw an arc within the mouth, or opening, of the angle.

Step 5: Without changing the width of the compass, move its needle to point E and draw another arc that crosses the arc drawn from D.

Step 6: Mark the point of intersection of the arcs centered at D and E. Label the point F.

Step 7: Draw a straight line from vertex A passing through point F. Ray AF bisects angle BAC.

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