How do you construct 105 degree angle by compass?

To construct a 105-degree angle using a compass, start by drawing a straight line and marking point A on it. Next, use a compass to draw a 60-degree angle: place the compass point on A, draw an arc across the line, and label the intersection point B. Then, without changing the compass width, place the point on B and draw another arc to create a 60-degree angle above the line. Finally, draw a line from A through the intersection of the arcs, which will create a 105-degree angle with the original line.