<p><strong>Angle Bisector</strong></p>
<p>The ray $BX$ divides the angle $ABC$ into two equal angles, i.e. angle $ABX=$ angle $CBX$.</p>
<p>Thus, $BX$ bisects angle $ABC$. </p>
<p>Any point on the angle bisector of an angle is equidistant from the two sides of the angle. </p>
<p>(Ray is a line with a fixed starting point but no end point)</p>
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<p><strong>Steps of Drawing Angle Bisector</strong></p>
<ol class="num-list"><li><div class="list-item-paragraph">Draw the angle $ABC$ by using a ruler and a protractor. </div></li><li><div class="list-item-paragraph">With $B$ as centre, use your compass to draw arcs which cut line segments $AB$ and $BC$ at $X$ and $Y$ respectively. </div></li><li><div class="list-item-paragraph">With $X$ and $Y$ as centres, use your compass to draw arcs around the projected angle bisector. </div></li><li><div class="list-item-paragraph">Connect point $B$ and where the arc cross with a ray. </div></li></ol>
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The ray $BX$ divides the angle $ABC$ into two equal angles, i.e. angle $ABX=$ angle $CBX$.

Any point on the angle bisector of an angle is equidistant from the two sides of the angle. 

(Ray is a line with a fixed starting point but no end point)

Draw the angle $ABC$ by using a ruler and a protractor. 

With $B$ as centre, use your compass to draw arcs which cut line segments $AB$ and $BC$ at $X$ and $Y$ respectively. 

With $X$ and $Y$ as centres, use your compass to draw arcs around the projected angle bisector. 

Connect point $B$ and where the arc cross with a ray. 

Construction of an Angle Bisector

Construction of an Angle Bisector

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