Question

when bisecting an angle, one of the steps is to draw an arc centered on a point on a ray of the angle. in particular this angle is to be drawn on the interior of the angle, why must The Arc be drawn in the interior of the angle?​

Answer 1

An arc is drawn inside an angle during bisecting to intersect both rays, creating two points which when connected to the vertex, bisect the angle into two equal parts.

Step-by-step explanation:

When bisecting an angle, it's important to draw the arc in the interior of the angle to ensure that the arc intersects both sides of the angle. This intersection provides two points, one on each side of the angle, which can then be used to create the angle bisector. The arc must be drawn inside the angle so that when you connect the vertex to the two points where the arc intersects the rays of the angle, you ensure that the new line bisects the angle into two equal parts. If the arc were drawn outside, it wouldn't intersect the rays of the angle within the confines of the angle, and thus it would be impossible to use this method to bisect the angle accurately.