To construct a @$\begin{align*}45^\circ\end{align*}@$ angle, we follow the following steps for construction: Step 1: Draw a ray @$\begin{align*}BA.\end{align*}@$ Step 2: With @$\begin{align*}B\end{align*}@$ as the vertex, construct @$\begin{align*}\angle ABE = 90^\circ.\end{align*}@$ Step 3: Place the compass on point @$\begin{align*}F,\end{align*}@$ where the arc cuts @$\begin{align*}BA,\end{align*}@$ and draw another arc. Keeping the width of the compass the same, repeat for point @$\begin{align*}G\end{align*}@$ on the other ray so that the two arcs intersect at point @$\begin{align*}H.\end{align*}@$ Step 4: Connect the intersection point @$\begin{align*}H\end{align*}@$ to vertex @$\begin{align*}B\end{align*}@$ to create the angle bisector. The angle @$\begin{align*}ABH\end{align*}@$ so obtained is of the measure @$\begin{align*}45^\circ.\end{align*}@$ Click here to learn more about the construction of angles!
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