Construct an angle of 112.5^{circ} and write | vedclass

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Question

(D) $1$. Draw a ray $OA$. $2$. Using a compass,construct an angle of $90^{\circ}$ at point $O$. $3$. Construct an angle of $135^{\circ}$ at point $O$

Vedclass · Accepted Answer

The resulting angle is $112.5^{\circ}$.

Vedclass · Answer

(D) $1$. Draw a ray $OA$. $2$. Using a compass,construct an angle of $90^{\circ}$ at point $O$. $3$. Construct an angle of $135^{\circ}$ at point $O$ (which is the angle bisector of $90^{\circ}$ and $180^{\circ}$). $4$. Now,bisect the angle between $90^{\circ}$ and $135^{\circ}$. $5$. The angle formed is $(90^{\circ} + 135^{\circ}) / 2 = 225^{\circ} / 2 = 112.5^{\circ}$.

Construct an angle of $112.5^{\circ}$ and write the steps of construction.

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