Question

Please see questions below please help

Answer 1

The general procedure for constructing an angle bisector is ...

• set the compass to some convenient width, say about half the length of the shortest of the rays in your diagram

• draw an arc through both rays of the given angle (at A and B in the attached)

• at each point where the arc intersects the ray, use that as a center for another arc across the middle of the given angle. These two arcs will intersect at a point that is on the angle bisector (they intersect at C in the attached. Note that it is necesary to have radius QA = QB and radius AC = BC. It is not necessary, but may be convenient to have radius QA = AC.)

• draw the angle bisector from the vertex of the given angle through the point you found in the previous step.

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For problem 3, you need to do this procedure 3 times. If you use the same compass setting for all arcs, then you would create the first angle bisector (call it BX), then using the points where the first arc crosses rays A, C, and X as centers, make the arcs necessary to define the bisectors of angles ABX and CBX. (Some saving in the amount of work required is possible if you make the arcs fairly wide in the 3rd step above. You won't have to repeat making those arcs to make them intersect with the arcs made using the point on ray X as the center.)