Question

you are shown ∠ghi below whose measure is 56°. draw an angle bisector of ∠ghi by clicking a dragging a ray out from the vertex at h. click and drag to draw a ray from the yellow dot. to redraw, click and drag from the yellow dot again. m∠ghi = 56°

Explanation:

Step1: Recall angle bisector definition

An angle bisector divides an angle into two equal parts. So, we need to find the measure of each part.

Step2: Calculate the bisected angle measure

The measure of \(\angle GHI\) is \(56^\circ\). When we bisect it, each resulting angle will be \(\frac{56^\circ}{2}=28^\circ\).

Step3: Draw the bisector

From the vertex \(H\) (the yellow dot), we draw a ray that splits \(\angle GHI\) such that the angle between the new ray and \(HG\) is \(28^\circ\) and the angle between the new ray and \(HI\) is also \(28^\circ\). This is done by estimating the direction that is exactly in the middle of \(HG\) and \(HI\) (visually, since it's a grid - based diagram, we can use the grid lines to approximate the middle direction).

Answer:

To draw the angle bisector, from the yellow dot at \(H\), drag a ray such that it creates two angles of \(28^\circ\) each with \(HG\) and \(HI\) (visually, it should be the line of symmetry between \(HG\) and \(HI\) in the given grid - based angle diagram).