Question
Bisect $\angle\text{XYZ}$ of Figure.
✓
Answer
Steps of construction are as follows:Step I: With $Y$ as a centre and using compass, draw an arc that cuts both rays of $\angle\text{Y.}$ Label point of intersection as $A$ and $8.$
Step II: With $A$ as centre, draw $($in the interior of $\angle\text{Y})$ an arc, whose radius is more than half the length $AB.$
Step III: With $B$ as centre and the same radius draw another arc in the interior of $\angle\text{Y.}$ Let the two arcs intersect at $D.$ Join $YD$ Then, $YD$ is the required bisector of $\angle\text{XYZ.}$
Step II: With $A$ as centre, draw $($in the interior of $\angle\text{Y})$ an arc, whose radius is more than half the length $AB.$
Step III: With $B$ as centre and the same radius draw another arc in the interior of $\angle\text{Y.}$ Let the two arcs intersect at $D.$ Join $YD$ Then, $YD$ is the required bisector of $\angle\text{XYZ.}$
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