Question

bisect an angle of 90° and 30°​

Answer 1

30°

Place the compass point at B, and using the same radius, strike another arc within the rays.

Label as C the point of intersection of the two arcs.

Draw a straight line from the angle's vertex to point C.

That line bisects the 60° angle, forming two 30° angles.

90°

We can construct a 90º angle either by bisecting a straight angle or using the following steps.

Step 1: Draw the arm PA.

Step 2: Place the point of the compass at P and draw an arc that cuts the arm at Q.

Step 3: Place the point of the compass at Q and draw an arc of radius PQ that cuts the arc drawn in Step 2 at R.