Respuesta :

You are given an angle. Draw a ray with one endpoint. This endpoint will be the vertex of the new angle. Place the compass on the vertex of the given angle and swing an arc that intersects both rays of the given angle. Place the compass on the vertex of the new angle and swing an arc similar to the first one you created. Open the compass to the width of the intersection points of the rays and arc of the given angle. Place the compass on the intersection point of the ray and arc of the new angle and swing another arc that intersects the first. Draw a ray through the new vertex and the intersection point of the two arcs. This second ray creates an angle that is congruent to the given one.

Answer:

Step 1: Mark the point that will be the vertex of the new angle, and label it P.

Step 2: Draw a ray from P in any direction, with any length. This ray will be one of the sides of the new angle.

Step 3: Place the compass point on the vertex of the original angle, and adjust the compass width to a convenient size.

Step 4: Use the compass to draw an arc intersecting both rays of the original angle at two points, J and K.

Step 5: Move the compass (without changing the width) to point P, and make an arc intersecting the existing ray of the angle. Mark the intersection point, and label it M.

Step 6: Set the compass point on the original angle at point J, and set its width to the length of line segment JK.

Step 7: Move the compass point to M on the new angle, and draw an arc cutting the previous arc. Mark the intersection point and label it L.

Step 8: Draw a ray from point P through point L. The new angle is a copy of the original angle.

Step-by-step explanation: