How To Construct An Angle Congruent To A Given Angle 12 Steps

For ease of reference, refer to the original angle as Angle ABC. Point B is the vertex of the angle. An angle is made up of two rays that join at the vertex. This angle is comprised of Ray BA and Ray BC.

Place an arrow point at the end of the line you drew and label it N. You have just drawn Ray MN. This will be the base of the angle you construct.

Set the point of the compass at point B, the vertex of the original angle, and draw an arc that crosses both Ray BA and Ray BC. You do not need to draw an entire circle. For reference, mark the points where the arc crosses the rays as points X and Y.

For reference, label Point F where the arc crosses Ray MN.

If the copied angle does not appear to be exactly congruent to the original, you should check that your compass remained stable each time that you lifted it off the paper.