Question

to contact the bisector for an angle any measure​

Answer 1

Answer:

Can We Construct Angle Bisectors For Angles of Any Measure? Yes, an angle bisector can be constructed for angles of any measure. Be it an acute, obtuse, or right angle, the angle bisector exactly divides an angle into two equal halves.

Step-by-step explanation:

Follow the sequence of steps mentioned below to construct an angle bisector.

Step 1: Span any width of radius in a compass and with O as the center, draw two arcs such that it cut the rays OA and OB at points C and D respectively.

Angle Bisector Construction Step 1

Note that OC = OD, since these are radii of the same circle.

Step 2: Without changing the distance between the legs of the compass, draw two arcs with C and D as centers, such that these two arcs intersect at a point named E (in the image).

Angle Bisector Construction Step 2

Note that CE = DE, since the two arcs were drawn in this step was of the same radius.

Step 3: Join the ray OE. This is the required angle bisector of angle AOB.

Angle Bisector Construction Step 3

The proof of constructing an angle bisector is given below.